1132.Cut Integer

题目描述

Cutting an integer means to cut a K digits lone integer Z into two integers of (K/2) digits long integers A and B. For example, after cutting Z = 167334, we have A = 167 and B = 334. It is interesting to see that Z can be devided by the product of A and B, as 167334 / (167 × 334) = 3. Given an integer Z, you are supposed to test if it is such an integer.

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤ 20). Then N lines follow, each gives an integer Z (10 ≤ Z <2^​31​​ ). It is guaranteed that the number of digits of Z is an even number.

Output Specification:

For each case, print a single line Yes if it is such a number, or No if not.

Sample Input:

3
167334
2333
12345678

Sample Output:

Yes
No
No

代码

#include 
#include 
using namespace std;
int main() {
    int n;
    cin >> n;
    for (int i = 0; i < n; i++) {
        string z, a, b;
        cin >> z;
        a = z.substr(0, z.size() / 2);
        b = z.substr(z.size() / 2, z.size() / 2);
        if (stoi(a)*stoi(b) != 0 && stoi(z) % (stoi(a)*stoi(b)) == 0) cout << "Yes\n";
        else cout << "No\n";
    }
    return 0;
}