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
#include<iostream>
#include<cmath>
using namespace std;

int cpp(int a, int b)
{
	if (b == 0)
		return a;
	else
		return cpp(b, a % b);
}
int main()
{
	int m, temp;
	unsigned long long int mama, cc;
	cin >> m;
	for(int i=0;i<m;i++)
	{
		cin >> temp;
		if (!i)
			mama = temp;
		else
		{
			if (mama >= temp)
			{
				cc = cpp(mama, temp);
				mama = (mama * temp) / cc;
			}
			else
			{
				cc = cpp(temp,mama);
				mama = (mama * temp) / cc;
			}
		}
	}
	cout << mama << endl;
	return 0;
}


