#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } // 素因数分解 std::vector> primeFactorization(long long n) { std::vector> ret; for (long long i = 2; i*i <= n; i++) { int c = 0; while (n%i == 0) { // 素数で割り切れなくなるまで割っていく c++;//割った個数を配列に足す n /= i; } if (0 != c) ret.push_back({ i,c }); if (1 == n) break; } if (1 != n) ret.push_back({ n,1 }); return ret; } long long solve(vectora) { auto list = primeFactorization(a[0]); long long ret = 0; rep2(i, 1, a.size()) { if (1 != gcd(a[0], a[i]))continue; else ret += list[0].first; } return ret; } class Osa_k { public: Osa_k(int max = 1000006) { size = max + 1; osa_k.resize(size); } void init() { osa_k[1] = 1; for (int i = 2; i < size + 1; ++i) { if (0 != osa_k[i])continue; osa_k[i] = i; for (int j = i * 2; j <= size; j += i) { if (0 == osa_k[j]) osa_k[j] = i; } } } std::vector osk(int n) { std::vectorret; while (1 != n) { ret.push_back(osa_k[n]); n /= osa_k[n]; } return ret; } std::vector>oskPair(int n) { auto ps = osk(n); std::vector> result; for (int i = 0; i < ps.size();) { int j = i + 1; while (j < ps.size() && ps[i] == ps[j])j++; result.emplace_back(ps[i], j - i); i = j; } return result; } private: int size; std::vectorosa_k; }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; long long ans = LINF; vectora(n); rep(i, n)cin >> a[i]; mapmp; Osa_k osk(200005); osk.init(); std::vector>> p(n); rep(i, n) { p[i] = osk.oskPair(a[i]); for (auto e : p[i]) { if (mp.count(e.first))continue; mp[e.first] = mp.size(); } } if (0 == mp.size()) { cout << 2 * n << endl; return 0; } dsu uf(n + mp.size()); rep(i, n) { for (auto e : p[i]) { uf.merge(i, n + mp[e.first]); } } auto g = uf.groups(); auto mnPrime = (*mp.begin()).first; if (1 == g.size()) { cout << 0 << endl; } else { long long ans = LINF; chmin(ans, (long long)(g.size()) * 2); chmin(ans, (long long)(g.size() - 1) * mnPrime); cout << ans << endl; } return 0; }