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 = int(input())
A = list(map(int, input().split()))

def gcd(x,y):
    if max(x, y) % min(x, y) == 0:
        return min(x,y)
    else:
        return gcd ( max(x,y) % min (x,y) , min(x,y))

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

ans = A[0]
for i in range(n-1):
    ans = lcm(ans, A[i+1])

print(ans)
