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 <231). 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
code
#pragma warning(disable:4996)
#include <iostream>
#include <vector>
#include <stdio.h>
#include <string>
using namespace std;
int tran(string s);
int main() {
int n;
cin >> n;
string str;
while (n--) {
cin >> str;
int a = tran(str);
int b = tran(str.substr(0, str.size() / 2));
int c = tran(str.substr(str.size() / 2));
if ((b*c) == 0) {
cout << "No" << endl;
}
else if (a % (b*c) == 0) {
cout << "Yes" << endl;
}
else cout << "No" << endl;
}
system("pause");
return 0;
}
int tran(string s) {
int sum = 0;
for (int i = 0; i < s.size(); ++i) {
sum *= 10;
sum += s[i] - '0';
}
return sum;
}