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>
using namespace std;
int main()
{
	int n;
	cin >> n;
	long A[10] = {};
	for(int i = 0; i < n; ++i ) cin >> A[i];
	
	int a = A[0],
		b = A[1],
		i = 1, c, r;
	while( true )
	{
		if( a < b ) swap( a, b );
		c = a * b;
		while( a % b != 0 ) {
			r = b;
			b = a % b;
			a = r;
		}
		c /= b;
		if( i == n - 1 ) break;
		a = c;
		b = A[++i];
	}
	cout << c << "\n";	

	return 0;
}