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 math
input()
L = list(map(int, input().split()))
m = [ [] for x in range(len(L))]
for i in range(len(L)):
    n = L[i]
    k = n
    for j in range(2, int(math.sqrt(n))+1):
        if j > k:
            break
        while k % j ==0:
            m[i].append(j)
            k = k // j
            if k == 1:
                break
    if k != 1:
        m[i].append(k)
s = set()
for i in m:
    s |= set(i)
lcm = 1
for i in s:
    lcm *= i**max([ m[x].count(i) for x in range(len(L))] )
print(lcm)

