hdu 5640 King's Cake（模拟）

Posted 2020-06-24

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

 

hint:

 

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

 

 

Source

BestCoder Round #75

 

 

模拟，过程类似求gcd，每次减去最小的边即可。

 

 1 #pragma comment(linker, "/STACK:1024000000,1024000000")
 2 #include<iostream>
 3 #include<cstdio>
 4 #include<cstring>
 5 #include<cmath>
 6 #include<math.h>
 7 #include<algorithm>
 8 #include<queue>
 9 #include<set>
10 #include<bitset>
11 #include<map>
12 #include<vector>
13 #include<stdlib.h>
14 #include <stack>
15 using namespace std;
16 #define PI acos(-1.0)
17 #define max(a,b) (a) > (b) ? (a) : (b)
18 #define min(a,b) (a) < (b) ? (a) : (b)
19 #define ll long long
20 #define eps 1e-10
21 #define MOD 1000000007
22 #define N 1000000
23 #define inf 1e12
24 int n,m;
25 int main()
26 {
27    int t;
28    scanf("%d",&t);
29    while(t--){
30       scanf("%d%d",&n,&m);
31       int ans=0;
32       while(n!=m){
33          ans++;
34          if(n>m) n-=m;
35          else m-=n;
36       }
37       printf("%d\n",ans+1);
38 
39    }
40     return 0;
41 }

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