HDU 5640 King's Cake

Problem Description

n×m(1≤n,m≤10000)

Input

T(T≤1000), the number of the testcases.

For each testcase, the first line and the only line contains two positive numbers 

n,m(1≤n,m≤10000).

Output

For each testcase, print a single number as the answer.

Sample Input

2
2 3
2 5      

Sample Output

3
4

hint:
For the first testcase you can divide the into one cake of $2\times2$ , 2 cakes of $1\times 1$      

其實就是過程等同于求最大公約數。

#include<cstdio>
#include<vector>
#include<queue>
#include<string>
#include<map>
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long LL;
const int low(int x){ return x&-x; }
const int INF = 0x7FFFFFFF;
const int mod = 1e9 + 7;
const int maxn = 1e3 + 10;
int T, n, m, sum;

void gcd(int x, int y)
{
  sum += x / y;
  if (x%y) gcd(y, x%y);
}

int main()
{
  scanf("%d", &T);
  while (T--)
  {
    scanf("%d%d", &n, &m);
    sum = 0;
    gcd(n, m);
    printf("%d\n", sum);
  }
  return 0;
}