Find the least common multiple (LCM) of given n integers.

Constraints

* 2 ≤ n ≤ 10
* 1 ≤ ai ≤ 1000
* Product of given integers ai(i = 1, 2, ... n) does not exceed 231-1

Input


n
a1 a2 ... an


n is given in the first line. Then, n integers are given in the second line.

Output

Print the least common multiple of the given integers in a line.

Examples

Input

3
3 4 6


Output

12


Input

4
1 2 3 5


Output

30
#mathモジュールのimportと標準入力
import math
i = int(input())
line = list(map(int,input().split()))

#変数の更新
n = line[0]

#最小公倍数を求めその最小公倍数と新しい数との最小公倍数を求める
for l in range(1,i):n = int(n * line[l] / math.gcd(n,line[l]))

#出力
print(n)
