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
N=input()
target = list(map(int, input().split()))

def calc_factors(N):
    n = int(N**.5)
    arr = []
    tmp = N
    for i in range(2,n+1):
        if tmp % i == 0:
            while tmp % i == 0:
                arr.append(i)
                tmp = int(tmp/i)
    if tmp != 1: arr.append(tmp) 
    return arr

d = {}
for i in target:
    arr = calc_factors(i)
    for a in set(arr):
        if a in d.keys():
            d[a] = max(d[a], arr.count(a))
        else:
            d[a] = arr.count(a)
res = 1
for k,v in d.items():
    res*=(int(k)**int(v))
print(res)
