#if 1 #include using namespace std; #include using namespace atcoder; using mint93 = modint998244353; using mint17 = modint1000000007; using mint = modint; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using p = pair; #define vec vector template using v = vector; template using vv = v>; template using vvv = v>; using vl = v; using vvl = vv; using vvvl = vvv; using vpl = v; constexpr ll TEN(int n) { return (n == 0) ? 1ll : 10ll * TEN(n - 1); } #define FOR(i, a, b) for (ll i = (ll)(a); i < (ll)(b); i++) #define rep(i, N) for (ll i = 0; i < (ll)(N); i++) #define rep1(i, N) for (ll i = 1; i <= (ll)(N); i++) #define rrep(i, N) for (ll i = N - 1; i >= 0; i--) #define rrep1(i, N) for (ll i = N; i > 0; i--) #define fore(i, a) for (auto &i : a) #define fs first #define sc second #define eb emplace_back #define pb push_back #define ps push #define elif else if #define all(x) (x).begin(), (x).end() #define UNIQUE(x) (x).erase(unique((x).begin(), (x).end()), (x).end()); #define YES(x) cout << ((x) ? "YES" : "NO") << endl; #define Yes(x) cout << ((x) ? "Yes" : "No") << endl; #define yes(x) cout << ((x) ? "yes" : "no") << endl; #define printans(x) cout << (x == infl ? -1 : x) << endl; ll sum(vl &x) { return accumulate(all(x), 0ll); } template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } const int inf = (1ll << 29); const ll infl = (1ll << 60); const ll mod93 = 998244353ll; const ll mod17 = 1000000007ll; int popcnt(uint x) { return __builtin_popcount(x); } int popcnt(ull x) { return __builtin_popcountll(x); } int bsr(uint x) { return 32 - __builtin_clz(x); } int bsr(ull x) { return 64 - __builtin_clzll(x); } int bsf(uint x) { return __builtin_ctz(x); } int bsf(ull x) { return __builtin_ctzll(x); } ostream &operator<<(ostream &os, const mint93 &x) { return os << x.val(); } ostream &operator<<(ostream &os, const mint17 &x) { return os << x.val(); } template istream &operator>>(istream &is, pair &x) { return is >> x.fs >> x.sc; } template ostream &operator<<(ostream &os, pair &x) { return os << x.fs << " " << x.sc; } template istream &operator>>(istream &is, v &x) { for (auto &y : x) is >> y; return is; } template ostream &operator<<(ostream &os, v &x) { for (unsigned int i = 0, size = x.size(); i < size; i++) os << x[i] << (i == size - 1 ? "" : " "); return os; } template T popleft(queue &q) { T a = q.front(); q.pop(); return a; } template void print(T &t) { fore(H, t) cout << H << ' '; cout << endl; } struct StopWatch { bool f = false; clock_t st; void start() { f = true; st = clock(); } int msecs() { assert(f); return (clock() - st) * 1000 / CLOCKS_PER_SEC; } }; ll rand_int(ll l, ll r) { // [l, r] static random_device rd; static mt19937 gen(rd()); return uniform_int_distribution(l, r)(gen); } template // mint93 or mint17 struct Count { int N; v fact, ifact; Count(int N) : N(N) { fact.resize(N + 1); ifact.resize(N + 1); fact[0] = 1; rep1(i, N) { fact[i] = fact[i - 1] * i; } ifact[N] = T(1) / fact[N]; rrep1(i, N) { ifact[i - 1] = ifact[i] * i; } } void extend(int n) { int pn = fact.size(); fact.resize(n + 1); ifact.resize(n + 1); FOR(i, pn, n + 1) { fact[i] = fact[i - 1] * i; } ifact[n] = T(1) / fact[n]; for (int i = n; i > pn; i--) { ifact[i - 1] = ifact[i] * i; } } T nCk(int n, int k) { if (k > n || k < 0) return 0; if (n >= int(fact.size())) extend(n); return fact[n] * ifact[k] * ifact[n - k]; } T nPk(int n, int k) { if (k > n || k < 0) return 0; if (n >= int(fact.size())) extend(n); return fact[n] * ifact[n - k]; } T nHk(int n, int k) { if (n == 0 && k == 0) return 1; return nCk(n + k - 1, k); } T catalan(int n) { return nCk(2 * n, n) - nCk(2 * n, n + 1); } T catalan(int n, int m, int k) { if (n > m + k || k < 0) return 0; else return nCk(n + m, n) - nCk(n + m, m + k + 1); } }; #endif // #define _GLIBCXX_DEBUG int main() { int n; cin >> n; vl a(n); cin >> a; dsu uf(n + 2 * TEN(5)); rep(i, n){ int b = a[i]; int now = 2; while (now * now <= b){ while (b % now == 0){ uf.merge(i, n + now); b /= now; } now++; } if (b != 1) uf.merge(i, n + b); } int mn = -1; rep(i, 2 * TEN(5)){ if (uf.size(n + i) > 1) { mn = i; break; } } int group = 0; set leader; rep(i, n){ if (leader.find(uf.leader(i)) == leader.end()){ group++; leader.insert(uf.leader(i)); } } if (mn == -1) { cout << 2 * group << endl; return 0; } cout << min(2 * group, mn * (group - 1)) << endl; }