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())
L = list(map(int,input().split()))
def gcd(a,b):
    while b != 0:
        k = b
        b = a%b
        a = k
    return a
g = gcd(max(L[0],L[1]),min(L[0],L[1]))
lcm = L[0]*L[1]//g
for i in range(2,len(L)):
    cur = gcd(max(lcm,L[i]),min(lcm,L[i]))
    if lcm%L[i] == 0:
        None
    elif L[i]%lcm == 0:
        lcm = L[i]
    else:
        lcm = lcm*L[i]//cur
print(lcm)
