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
def gcd(a, b):
	if a == 0:
		return b
	elif b == 0:
		return a
	return gcd(b, a % b)

def lcm(a, b):
	return int(a / gcd(a, b)) * b

def lcml(l):
	if len(l) < 1:
		return 1
	elif len(l) == 1:
		return l[0]
	return lcm(l[0], lcml(l[1:]))

n = int(input())
print(lcml([int(x) for x in input().split()]))
