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

def function(n):
    a = []
    if n < 2:
        return a
    while n%2 ==0:
        a.append(2)
        n = n//2
    i = 3
    while i*i <= n:
        if n%i ==0:
            a.append(i)
            n = n//i
        else:
            i += 2
    if n > 1:
        a.append(n)
    return a

diction = {}
for i in range(n):
    prime_factor = function(number[i])
    for k in prime_factor:
        a = prime_factor.count(k)
        if k not in diction:
            diction[k] = a
        elif diction[k] < a:
            diction[k] = a
ans= 1            
for a in diction:
    ans *= a**diction[a]
    
print(ans)