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
#import pysnooper
#import os,re,sys,operator,math,heapq,string
#from collections import Counter,deque
#from operator import itemgetter
#from itertools import accumulate,combinations,groupby,combinations_with_replacement,permutations
from sys import stdin,setrecursionlimit
#from copy import deepcopy

setrecursionlimit(10**6)
input=stdin.readline

def gcd(a,b):
    if b==0:
        return a
    return gcd(b,a%b)

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

n=int(input().rstrip())
a=[int(i) for i in input().split()]
ans=a[0]
for i in range(1,n):
    ans=lcm(ans,a[i])
print(ans)
