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反素数

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 10111    Accepted Submission(s): 5954


Problem Description
反素数就是满足对于任意i(0<i<x),都有g(i)<g(x),(g(x)是x的因子个数),则x为一个反素数。现在给你一个整数区间[a,b],请你求出该区间的x使g(x)最大。
 

Input
第一行输入n,接下来n行测试数据
输入包括a,b, 1<=a<=b<=5000,表示闭区间[a,b].
 

Output
输出为一个整数,为该区间因子最多的数.如果满足条件有多个,则输出其中最小的数.
 

Sample Input
3
2 3
1 10
47 359
 

Sample Output
2
6
240
 

Hint

2的因子为：1 2
10的因子为:1 2 5 10
 

Source
HDU 2008-10 Programming Contest
 

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