hdu 5640 King's Cake

King's Cake

Time Limit : 2000/1000ms (Java/Other)   Memory Limit : 65536/65536K (Java/Other)

Total Submission(s) : 58   Accepted Submission(s) : 35

Problem Description

It is the king's birthday before the military parade . The ministers prepared a rectangle cake of size $n \times m(1\le n, m \le 10000)$ . 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 $T(T \leq 1000)$, the number of the testcases. For each testcase, the first line and the only line contains two positive numbers $n , m(1\le n, m \le 10000)$.

 

Output

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

 

Sample Input

22 32 5

 

Sample Output

34hint:For the first testcase you can divide the into one cake of $2\times2$ , 2 cakes of $1\times 1$

 

Source

BestCoder Round #75

#include<iostream>#include<string>#include<math.h>#include<string.h>#include<stdio.h>using namespace std;//给你一个n*m的蛋糕，每次切一个正方形 int main(){int num,n,m,sum;cin>>num;while(num--){cin>>n>>m;sum=0;while(n!=0&&m!=0){if(n>=m)   n=n-m;else  m=m-n;sum++;}cout<<sum<<endl;} } //2 2 2 3//2 2 2 1//1 1//1 1