CF1285F Classical?
Description
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 Format
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 Format
Print one integer, the maximum value of the least common multiple of two elements in the array $ a $ .