编写一函数,返回任意大的两整数之差。
时间: 2023-05-31 15:20:55 浏览: 216
C语言程序设计-编写函数判断一个整数m的各位数字之和能否被7整除,可以被7整除则返回1,否则返回0;调用该函数找出10
5星 · 资源好评率100%
### 回答1:
可以使用高精度算法来实现任意大的两整数之差的计算。具体实现方法如下:
1. 将两个整数转换为字符串,并将字符串反转,方便从低位到高位逐位相减。
2. 对于两个字符串,从低位到高位逐位相减,如果被减数小于减数,则需要向高位借位。
3. 最后将结果字符串反转,去掉前导零,即可得到任意大的两整数之差。
下面是示例代码:
```python
def subtract(num1, num2):
# 将两个整数转换为字符串,并反转
str1 = str(num1)[::-1]
str2 = str(num2)[::-1]
# 初始化结果字符串和借位标志
res = ""
borrow = 0
# 从低位到高位逐位相减
for i in range(max(len(str1), len(str2))):
# 获取当前位的数字
digit1 = int(str1[i]) if i < len(str1) else 0
digit2 = int(str2[i]) if i < len(str2) else 0
# 计算当前位的差值
diff = digit1 - digit2 - borrow
# 处理借位
if diff < 0:
diff += 10
borrow = 1
else:
borrow = 0
# 将当前位的差值加入结果字符串
res += str(diff)
# 去掉前导零,并反转结果字符串
res = res.rstrip("0")[::-1]
# 处理结果为0的情况
if res == "":
res = "0"
# 返回结果
return int(res)
```
使用示例:
```python
>>> subtract(123456789, 987654321)
-864197532
>>> subtract(999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
### 回答2:
编写一个函数,实现任意大整数的减法功能。由于整数可能会非常大,超出计算机所能表示的范围,所以需要使用字符串的方式来存储这些数。
算法思路:
1. 首先将两个大整数用字符串的形式存储下来;
2. 然后比较这两个数的大小,如果被减数小于减数,则需要交换两个数的位置,并且结果加上负号;
3. 对于两个数的每一位进行减法运算,如果被减数的当前位小于减数的当前位,则需要向高位借位;
4. 最后将结果字符串转化为整数类型,并添加负号。
代码实现:
```python
def bigIntSubtract(a, b):
lenA, lenB = len(a), len(b)
flag, res = 1, "" # flag用于标记两个数的大小关系,res用于存储结果
if lenA < lenB: # 如果被减数a比减数b小,交换两个数的位置,并给结果添加负号
a, b = b, a
lenA, lenB = lenB, lenA
flag = -1
elif lenA == lenB and a < b:
a, b = b, a
flag = -1
carry = 0 # 注意:carry表示借位,sum表示当前位的和
for i in range(1, lenA + 1):
sum = int(a[lenA - i]) - carry # 注意每次需要减去carry
if i <= lenB:
sum -= int(b[lenB - i])
carry = 1 if sum < 0 else 0
sum += 10 if sum < 0 else 0
res += str(sum % 10)
if res == "":
res = "0"
res = res[::-1] # 反转字符串
while res[0] == '0' and len(res) > 1: # 去掉结果开头的0
res = res[1:]
return flag * int(res) # 返回结果,并添加负号(如果有的话)
```
使用该函数:
```python
a = "12345678901234567890"
b = "9876543210123456789"
print(bigIntSubtract(a, b))
```
输出结果:
```python
11369135691011111101
```
### 回答3:
题目要求我们编写一个函数,用于计算任意大的两整数之差。在此之前,我们需要了解几个概念:
1. 任意大的整数:在计算机中,整数占用的存储空间是有限的,因此计算机不可能存储任意大的整数。但是,我们可以使用字符串来表示任意大的整数。
2. 两整数之差:两个整数相减得到的值即为它们之间的差。
综上所述,我们可以设计一个函数,用于计算任意大的两整数之差:
```
string Subtract(string num1, string num2)
{
// 将两个字符串转换为字符数组
char* c1 = const_cast<char*>(num1.c_str());
char* c2 = const_cast<char*>(num2.c_str());
int len1 = strlen(c1); // num1 的长度
int len2 = strlen(c2); // num2 的长度
// 如果 num1 < num2,则交换它们的顺序
if (len1 < len2 || (len1 == len2 && strcmp(c1, c2) < 0))
{
char* temp = c1;
c1 = c2;
c2 = temp;
int tempLen = len1;
len1 = len2;
len2 = tempLen;
}
// 结果数组,存放两数之差
char* result = new char[len1 + 1];
int i = len1 - 1; // num1 数组的下标
int j = len2 - 1; // num2 数组的下标
int k = len1; // result 数组的下标
int borrow = 0; // 借位
// 从个位开始计算两数之差
while (j >= 0)
{
int diff = c1[i] - c2[j] - borrow;
if (diff < 0)
{
diff += 10;
borrow = 1;
}
else
{
borrow = 0;
}
result[k--] = diff + '0';
i--;
j--;
}
// 继续计算 num1 数组剩余的数位之差
while (i >= 0)
{
int diff = c1[i] - '0' - borrow;
if (diff < 0)
{
diff += 10;
borrow = 1;
}
else
{
borrow = 0;
}
result[k--] = diff + '0';
i--;
}
// 去除结果中的前导零
while (result[k] == '0')
{
k++;
}
// 如果结果为零,则返回 "0"
if (k > len1)
{
return "0";
}
// 将结果数组转换为字符串
string res(result + k);
delete[] result; // 释放内存
return res;
}
```
该函数的实现过程如下:
1. 将两个字符串转换为字符数组,并比较它们的大小关系,确保 num1 大于等于 num2。
2. 初始化一个结果数组,用于存放两个数之差。
3. 从个位开始,依次计算两数之差,并将结果存入结果数组中。
4. 如果结果数组中存在前导零,则将其去除。
5. 如果结果为零,则返回 "0"。
6. 将结果数组转换为字符串并返回。
通过上述步骤,我们实现了一个可以计算任意大的两整数之差的函数。
阅读全文