#include #include using namespace std; struct smart_sieve{ int n; vector f; // 初期構築 : (nloglog(n)) smart_sieve(int x = 1) :n(x), f(x+1, -1){ for(int i = 2; i <= n; i++){ if(f[i] != -1)continue; for(int j = i*i; j <= n; j += i){ f[j] = (f[j] == -1 ? i : f[j]); } f[i] = i; } } // 素数判定 : O(1) bool isPrime(int x){return f[x] == x;} // 素因数分解 : O(log(n)) vector> prime_factor(int x){ if(x == 1)return {}; vector> ret; ret.emplace_back(f[x], 1); x /= f[x]; while(x != 1){ if(f[x] == ret.back().first){ ret.back().second++; }else{ ret.emplace_back(f[x], 1); } x /= f[x]; } return ret; } }; int main(){ int n; cin >> n; vector a(n); for(int i = 0; i < n; i++)cin >> a[i]; set pf; smart_sieve ss(200000); for(int i = 0; i < n; i++){ vector> p; p = ss.prime_factor(a[i]); for(auto x : p)pf.insert(x.first); } int cnt = 0, mn = 1e9+7; vector pos(200000, -1); for(auto it = pf.begin(); it != pf.end(); it++){ mn = (mn == 1e9+7 ? (*it) : mn); pos[*it] = cnt++; } atcoder::dsu uf(n+cnt); for(int i = 0; i < n; i++){ vector> p; p = ss.prime_factor(a[i]); for(auto x : p)uf.merge(i, n+pos[x.first]); } set st; for(int i = 0; i < n; i++)st.insert(uf.leader(i)); int ans = 1e9+7, S = st.size(); if(pos[2] == -1){ ans = min(2*S, mn * (S-1)); }else{ ans = 2 * (S-1); } cout << ans << endl; }