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
# coding: utf-8
# Your code here!
def gcd(a, b) :
    while True :
        if a < b :
            a, b = b, a
        amari = a % b
        if amari == 0 :
            break
        else :
            a, b = b, amari
    return(b)

n = int(input())
c = list(map(int, input().split()))
for i in range(n-1, 0, -1) :
    c[i-1] = int(c[i] * c[i-1] / gcd(c[i], c[i-1]))
print(c[0])
