King‘s Cake

Problem Description

It is the king‘s birthday before the military parade . The ministers prepared a rectangle cake of size n×m(1≤n,m≤10000) . The king plans to cut the cake himself. But he has a strange habit of cutting cakes. Each time, he will cut the rectangle cake into two pieces, one of which should be a square cake.. Since he loves squares , he will cut the biggest square cake. He will continue to do that until all the pieces are square. Now can you tell him how many pieces he can get when he finishes.

Input

The first line contains a number 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

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wange2014

题目大意：阅兵式前一天，是国王的生日，大臣们为他准备了一个 n *m(1<=n, m<=10000)的蛋糕。他准备切蛋糕，但他切蛋糕有奇奇怪怪的癖好，他每次只切一刀，切下一个正方形蛋糕。请问它最多能切出多少个正方形蛋糕？

思路：看图

#include <iostream>
#include <cstdio>
using namespace std;
int t;
int f(int m, int n)
{
        if(m<n) return (f(n,m));
        t += m/n;
        if(m%n==0) return 0;
        f(n,m%n);
}
int main()
{
        int m, n, T;
        scanf("%d", &T);
        while(T--)
        {
        scanf("%d%d", &m, &n);
        t=0;
        f(m, n);
        printf("%d\n", t);
        }
        return 0;
}

HDU 5640 King's Cake