HDOJ 题目1722 Cake（数学）

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Cake

Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2055 Accepted Submission(s): 1066

Problem Description

一次生日Party可能有p人或者q人参加,现准备有一个大蛋糕.问最少要将蛋糕切成多少块(每块大小不一定相等),才能使p人或者q人出席的任何一种情况,都能平均将蛋糕分食.

Input

每行有两个数p和q.

Output

输出最少要将蛋糕切成多少块.

Sample Input

2 3

Sample Output

4Hint
将蛋糕切成大小分别为1/3,1/3,1/6,1/6的四块即满足要求.当2个人来时，每人可以吃1/3+1/6=1/2 , 1/2块。当3个人来时，每人可以吃1/6+1/6=1/3 , 1/3, 1/3块。

Author

Source

HZIEE 2007 Programming Contest

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ans=p+q-gcd(p,q);

ac代码

#include<stdio.h>int gcd(int a,int b){int t;if(a<b){t=a;a=b;b=t;}if(b==0)return a;elsereturn gcd(b,a%b);}int main(){int p,q;while(scanf("%d%d",&p,&q)!=EOF){printf("%d\n",p+q-gcd(p,q));}}

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