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(x, y):
   if x < y:
      x, y = y, x
   if x % y == 0:
      return y
   else:
      return gcd(y, x % y)

n = int(input())
A = list(map(int, input().split()))

l = A[0]
for i in range(1, n):
   l = l * A[i] / gcd(l, A[i])
print(int(l))
