Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.
Given an array $$$a$$$, consisting of $$$n$$$ integers, find:
$$$$$$\max\limits_{1 \le i < j \le n} LCM(a_i,a_j),$$$$$$
where $$$LCM(x, y)$$$ is the smallest positive integer that is divisible by both $$$x$$$ and $$$y$$$. For example, $$$LCM(6, 8) = 24$$$, $$$LCM(4, 12) = 12$$$, $$$LCM(2, 3) = 6$$$.
Input
The first line contains an integer $$$n$$$ ($$$2 \le n \le 10^5$$$) — the number of elements in the array $$$a$$$.
The second line contains $$$n$$$ integers $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^5$$$) — the elements of the array $$$a$$$.
Output
Print one integer, the maximum value of the least common multiple of two elements in the array $$$a$$$.