#include <bits/stdc++.h>
using namespace std;
int kt[10000003];
long long cnt[10000003];
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  vector<int> nto;
  for (int i = 2; i <= (int)1e7; ++i) {
    if (kt[i]) continue;
    nto.emplace_back(i);
    for (int j = i; j <= (int)1e7; j += i) kt[j] = i;
  }
  int n;
  cin >> n;
  for (int i = 1; i <= n; ++i) {
    int x;
    cin >> x;
    ++cnt[x];
  }
  for (int i = (int)1e7 - 1; i; --i) {
    cnt[i] += cnt[i + 1];
  }
  for (int i = (int)1e7; i > 1; --i) {
    if (kt[i] != i) cnt[kt[i]] += cnt[i];
    cnt[i / kt[i]] += cnt[i];
  }
  long long l = 1, r = 1e15;
  while (l <= r) {
    long long mid = l + r >> 1;
    bool flag = true;
    for (auto& x : nto) {
      long long ans = 0;
      for (long long i = x; i <= mid; i *= x) {
        ans += mid / i;
      }
      if (ans < cnt[x]) {
        flag = false;
        break;
      }
    }
    if (!flag)
      l = mid + 1;
    else
      r = mid - 1;
  }
  cout << l;
}
