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
#!/usr/bin/env python3
# N,M = map(int,sys.stdin.readline().split())
# A = list(map(int,sys.stdin.readline().split()))
# A = [sys.stdin.readline() for _ in range(N)]
# A = [list(map(int,sys.stdin.readline())) for _ in range(N)]
# A = [int(sys.stdin.readline()) for _ in range(N)]
# S = sys.stdin.readline().rstrip()
# N = int(sys.stdin.readline())
import sys,bisect,math
from functools import reduce
sys.setrecursionlimit(15000)

N = int(sys.stdin.readline())
A = list(map(int,sys.stdin.readline().split()))

def lcm(x,y):
  return x*y // math.gcd(x,y)

print(reduce(lcm,A))
