1132 Cut Integer (20 分)

1132 Cut Integer (20 分)

 

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 <). 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

判断能否整除，注意ab可能为零

#include <bits/stdc++.h>

using namespace std;
int n;
string s;
int main(){
    cin >> n;
    while(n--){
        int a = 0,b = 0,c = 0;
        cin >> s;
        int len = s.length();
        for(int i = 0; i < len; i++){
            c = c*10 + s[i]-'0';
        }
        for(int i = 0; i < len/2; i++){
            a = a*10 + s[i]-'0';
        }
        for(int i = len/2; i < len; i++){
            b = b*10 + s[i]-'0';
        }
        if(a*b != 0 && c%(a*b) == 0){
            cout <<"Yes"<<endl;
        }else{
            cout <<"No"<<endl;
        }

    }
    return 0;
}