AtCoder Beginner Contest 182
B
Almost GCD
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原题
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Problem Statement

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Given is an integer sequence $A$: $A_1, A_2, A_3, \dots, A_N$. Let the GCD-ness of a positive integer $k$ be the number of elements among $A_1, A_2, A_3, \dots, A_N$ that are divisible by $k$. Among the integers greater than or equal to $2$, find the integer with the greatest GCD-ness. If there are multiple such integers, you may print any of them.

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Constraints

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  • $1 \le N \le 100$
  • $2 \le A_i \le 1000$
  • All values in input are integers.
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Input

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Input is given from Standard Input in the following format:

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N
A_1 \hspace{7pt} A_2 \hspace{7pt} A_3 \hspace{5pt} \dots \hspace{5pt} A_N

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Output

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Print an integer with the greatest GCD-ness among the integers greater than or equal to $2$. If there are multiple such integers, any of them will be accepted.

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样例

Input #1
3
3 12 7
Output #1
3
Among $3$, $12$, and $7$, two of them - $3$ and $12$ - are divisible by $3$, so the GCD-ness of $3$ is $2$. No integer greater than or equal to $2$ has greater GCD-ness, so $3$ is a correct answer.
Input #2
5
8 9 18 90 72
Output #2
9
In this case, the GCD-ness of $9$ is $4$. $2$ and $3$ also have the GCD-ness of $4$, so you may also print $2$ or $3$.
Input #3
5
1000 1000 1000 1000 1000
Output #3
1000
题目信息
题号
abc182_b
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。