1!+2!+3!+…+10!
时间: 2024-04-15 12:22:29 浏览: 15
1! + 2! + 3! + ... + 10! 表示将从1到10的阶乘相加的结果。阶乘是指将一个数与小于它的正整数相乘的结果。下面是计算过程:
1! = 1
2! = 2 * 1 = 2
3! = 3 * 2 * 1 = 6
4! = 4 * 3 * 2 * 1 = 24
5! = 5 * 4 * 3 * 2 * 1 = 120
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362880
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800
将这些阶乘相加得到的结果是:
1! + 2! + 3! + ... + 10! = 1 + 2 + 6 + 24 + 120 + 720 + 5040 + 40320 + 362880 + 3628800 = 4037913
所以,1! + 2! + 3! + ... + 10! 的结果是4037913。
相关问题
1!+2!+3!+…+10! C语言
在C语言中,可以通过循环和递归两种方式来计算1!+2!+3!+...+10!。
1. 使用循环计算:
```c
#include <stdio.h>
int factorial(int num) {
int result = 1;
for (int i = 1; i <= num; i++) {
result *= i;
}
return result;
}
int main() {
int sum = 0;
for (int i = 1; i <= 10; i++) {
sum += factorial(i);
}
printf("1! + 2! + 3! + ... + 10! = %d\n", sum);
return 0;
}
```
2. 使用递归计算:
```c
#include <stdio.h>
int factorial(int num) {
if (num == 0) {
return 1;
} else {
return num * factorial(num - 1);
}
}
int main() {
int sum = 0;
for (int i = 1; i <= 10; i++) {
sum += factorial(i);
}
printf("1! + 2! + 3! + ... + 10! = %d\n", sum);
return 0;
}
```
1!+2!+3!+……+10!
回答: 1!+2!+3!+……+10!的结果是\[1\]:
int main() {
int i = 0;
int result = 1;
int sum = 0;
for (i = 1; i < 11; i++) {
result *= i;
sum += result;
}
printf("1!+2!+3!+……+10!:%d", sum);
return 0;
}
#### 引用[.reference_title]
- *1* *2* [C语言 | 计算 1!+2!+3!+……+10!详细讲解](https://blog.csdn.net/jingling555/article/details/126934720)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v91^insertT0,239^v3^insert_chatgpt"}} ] [.reference_item]
- *3* [C语言 计算 1!+2!+3!+……+10!](https://blog.csdn.net/Senyu_nuanshu/article/details/127796563)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v91^insertT0,239^v3^insert_chatgpt"}} ] [.reference_item]
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