小 A 有一个质数口袋,里面可以装各个质数。他从 2 2 开始,依次判断各个自然数是不是质数,如果是质数就会把这个数字装入口袋。 口袋的负载量就是口袋里的所有数字之和。 但是口袋的承重量有限,装的质数的和不能超过 � L。给出 � L,请问口袋里能装下几个质数?将这些质数从小往大输出,然后输出最多能装下的质数的个数,数字之间用换行隔开。 输入格式 一行一个正整数 � L。 输出格式 将这些质数从小往大输出,然后输出最多能装下的质数个数,所有数字之间有一空行。用C++实现
时间: 2024-04-09 19:28:35 浏览: 107
下面是用 C++ 实现的代码,可以解决这个质数口袋问题:
```cpp
#include <iostream>
#include <vector>
bool isPrime(int num) {
if (num < 2) {
return false;
}
for (int i = 2; i * i <= num; i++) {
if (num % i == 0) {
return false;
}
}
return true;
}
int main() {
int L;
std::cin >> L;
std::vector<int> pocket;
int sumPrimes = 0;
int countPrimes = 0;
for (int num = 2; num <= L; num++) {
if (isPrime(num)) {
if (sumPrimes + num <= L) {
pocket.push_back(num);
sumPrimes += num;
countPrimes++;
} else {
break;
}
}
}
for (int prime : pocket) {
std::cout << prime << std::endl;
}
std::cout << std::endl << countPrimes << std::endl;
return 0;
}
```
你可以将输入的 `L` 赋予一个正整数值并运行代码,它将输出符合条件的质数和最多能装下的质数个数,数字之间用换行隔开。
注意:此代码只提供了一种解决问题的方式,可能不是最高效的解决方案。
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