给定一个数字,找出其因素的最小和。
例子:
Input : 12
Output : 7
Explanation:
Following are different ways to factorize 12 and
sum of factors in different ways.
12 = 12 * 1 = 12 + 1 = 13
12 = 2 * 6 = 2 + 6 = 8
12 = 3 * 4 = 3 + 4 = 7
12 = 2 * 2 * 3 = 2 + 2 + 3 = 7
Therefore minimum sum is 7
Input : 105
Output : 15
// CPP program to find minimum
// sum of product of number
#include
using namespace std;
// To find minimum sum of
// product of number
int findMinSum(int num)
{
int sum = 0;
// Find factors of number
// and add to the sum
for (int i = 2; i * i <= num; i++) {
while (num % i == 0) {
sum += i;
num /= i;
}
}
sum += num;
// Return sum of numbers
// having minimum product
return sum;
}
// Driver program to test above function
int main()
{
int num = 12;
cout << findMinSum(num);
return 0;
}
输出:
7
有关更多详细信息,请参阅完整的文章“找到数量的最小因数总和”!
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