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
from functools import reduce

def gcd(a,b): #最小公約数
    if ((a%b) == 0 ):
        return b
    else:    
        return (gcd(b,a%b))

def lcm(a,b):
    return a * b // gcd(a,b)

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

print (reduce(lcm,l))
