PAT 1132 Cut Integer

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

#include<iostream> //注意分母为0的情况
#include<string>
using namespace std;
int main(){
  int n;
  cin>>n;
  for(int i=0; i<n; i++){
    string s;
    cin>>s;
    unsigned long long int z=stoi(s);
    unsigned long long int a=stoi(s.substr(0,s.size()/2));
    unsigned long long int b=stoi(s.substr(s.size()/2, s.size()/2));
    if(a*b==0)
      cout<<"No"<<endl;
    else if(z%(a*b)==0)
      cout<<"Yes"<<endl;
    else
      cout<<"No"<<endl;
  }
  return 0;
}