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Cake

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 10051    Accepted Submission(s): 4740


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
4
 

Hint
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
LL
 

Source
HZIEE 2007 Programming Contest
 

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