A16135 | Longest Divisors Interval
时间限制1s
内存限制256MB
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题目描述
Given a positive integer $n$ , find the maximum size of an interval $[l, r]$ of positive integers such that, for every $i$ in the interval (i.e., $l \leq i \leq r$ ), $n$ is a multiple of $i$ .
Given two integers $l\le r$ , the size of the interval $[l, r]$ is $r-l+1$ (i.e., it coincides with the number of integers belonging to the interval).
Given two integers $l\le r$ , the size of the interval $[l, r]$ is $r-l+1$ (i.e., it coincides with the number of integers belonging to the interval).
输入格式
The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases.
The only line of the description of each test case contains one integer $n$ ( $1 \leq n \leq 10^{18}$ ).
The only line of the description of each test case contains one integer $n$ ( $1 \leq n \leq 10^{18}$ ).
输出格式
For each test case, print a single integer: the maximum size of a valid interval.
输入输出样例
输入 #1
10 1 40 990990 4204474560 169958913706572972 365988220345828080 387701719537826430 620196883578129853 864802341280805662 1000000000000000000
输出 #1
1 2 3 6 4 22 3 1 2 2
In the first test case, a valid interval with maximum size is $[1, 1]$ (it's valid because $n = 1$ is a multiple of $1$ ) and its size is $1$ .
In the second test case, a valid interval with maximum size is $[4, 5]$ (it's valid because $n = 40$ is a multiple of $4$ and $5$ ) and its size is $2$ .
In the third test case, a valid interval with maximum size is $[9, 11]$ .
In the fourth test case, a valid interval with maximum size is $[8, 13]$ .
In the seventh test case, a valid interval with maximum size is $[327869, 327871]$ .
In the second test case, a valid interval with maximum size is $[4, 5]$ (it's valid because $n = 40$ is a multiple of $4$ and $5$ ) and its size is $2$ .
In the third test case, a valid interval with maximum size is $[9, 11]$ .
In the fourth test case, a valid interval with maximum size is $[8, 13]$ .
In the seventh test case, a valid interval with maximum size is $[327869, 327871]$ .
C++ 编辑器
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输出
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评测结果：Accepted