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;
template <typename T>
T gcd(const T a, const T b)
{
    return (b != 0) ? gcd(b, a % b) : a;
}

template <typename T>
T lcm(const T a, const T b)
{
    return (a / gcd(a, b)) * b;
}

int main()
{
    int N;
    cin >> N;
    ll ans = 1;
    for (int i = 0; i < N; i++) {
        ll a;
        cin >> a;
        ans = lcm(ans, a);
    }
    cout << ans << endl;

    return 0;
}

