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A13877. Row GCD

编程题 普及/提高-

题目描述

You are given two positive integer sequences $a_1, \ldots, a_n$ and $b_1, \ldots, b_m$ . For each $j = 1, \ldots, m$ find the greatest common divisor of $a_1 + b_j, \ldots, a_n + b_j$ .

输入格式

The first line contains two integers $n$ and $m$ ( $1 \leq n, m \leq 2 \cdot 10^5$ ).

The second line contains $n$ integers $a_1, \ldots, a_n$ ( $1 \leq a_i \leq 10^{18})$ .

The third line contains $m$ integers $b_1, \ldots, b_m$ ( $1 \leq b_j \leq 10^{18})$ .

输出格式

Print $m$ integers. The $j$ -th of them should be equal to GCD $(a_1 + b_j, \ldots, a_n + b_j)$ .

输入输出样例

输入 #1
4 4
1 25 121 169
1 2 7 23
输出 #1
2 3 8 24
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