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 <bits/stdc++.h>
using namespace std;
using ll = long long;
const int mod = 1e9 + 7;
const int inf = (1 << 30) - 1;
const ll infll = (1LL << 61) - 1;

ll gcd(ll a, ll b) { return (b ? gcd(b, a % b) : a); }
ll lcm(ll a, ll b) { return a / (gcd(a, b)) * b; }

int main()
{
    int N, a, b;
    cin >> N >> a >> b;
    N -= 2;
    a = lcm(a, b);
    for (int i = 0; i < N; i++)
    {
        cin >> b;
        a = lcm(a, b);
    }
    cout << a << endl;
}
