結果
問題 | No.1917 LCMST |
ユーザー |
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提出日時 | 2022-04-29 22:37:15 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 541 ms / 4,000 ms |
コード長 | 10,789 bytes |
コンパイル時間 | 2,498 ms |
コンパイル使用メモリ | 215,052 KB |
最終ジャッジ日時 | 2025-01-28 23:25:35 |
ジャッジサーバーID (参考情報) |
judge3 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 42 |
ソースコード
#define LOCAL#include <bits/stdc++.h>using namespace std;#pragma region Macrostypedef long long ll;typedef __int128_t i128;typedef unsigned int uint;typedef unsigned long long ull;#define ALL(x) (x).begin(), (x).end()template <typename T> istream& operator>>(istream& is, vector<T>& v) {for (T& x : v) is >> x;return is;}template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {for (size_t i = 0; i < v.size(); i++) {os << v[i] << (i + 1 == v.size() ? "" : " ");}return os;}template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {os << '(' << p.first << ',' << p.second << ')';return os;}template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {os << '{';for (auto itr = m.begin(); itr != m.end();) {os << '(' << itr->first << ',' << itr->second << ')';if (++itr != m.end()) os << ',';}os << '}';return os;}template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {os << '{';for (auto itr = m.begin(); itr != m.end();) {os << '(' << itr->first << ',' << itr->second << ')';if (++itr != m.end()) os << ',';}os << '}';return os;}template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {os << '{';for (auto itr = s.begin(); itr != s.end();) {os << *itr;if (++itr != s.end()) os << ',';}os << '}';return os;}template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {os << '{';for (auto itr = s.begin(); itr != s.end();) {os << *itr;if (++itr != s.end()) os << ',';}os << '}';return os;}template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {os << '{';for (auto itr = s.begin(); itr != s.end();) {os << *itr;if (++itr != s.end()) os << ',';}os << '}';return os;}template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {for (size_t i = 0; i < v.size(); i++) {os << v[i] << (i + 1 == v.size() ? "" : " ");}return os;}template <typename T, size_t N> ostream& operator<<(ostream& os, const array<T, N>& v) {for (size_t i = 0; i < N; i++) {os << v[i] << (i + 1 == N ? "" : " ");}return os;}template <int i, typename T> void print_tuple(ostream&, const T&) {}template <int i, typename T, typename H, class... Args> void print_tuple(ostream& os, const T& t) {if (i) os << ',';os << get<i>(t);print_tuple<i + 1, T, Args...>(os, t);}template <typename... Args> ostream& operator<<(ostream& os, const tuple<Args...>& t) {os << '{';print_tuple<0, tuple<Args...>, Args...>(os, t);return os << '}';}void debug_out() { cerr << '\n'; }template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {cerr << head;if (sizeof...(Tail) > 0) cerr << ", ";debug_out(move(tail)...);}#ifdef LOCAL#define debug(...) \cerr << " "; \cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \cerr << " "; \debug_out(__VA_ARGS__)#else#define debug(...) void(0)#endiftemplate <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }int popcount(signed t) { return __builtin_popcount(t); }int popcount(long long t) { return __builtin_popcountll(t); }bool ispow2(int i) { return i && (i & -i) == i; }long long MSK(int n) { return (1LL << n) - 1; }template <class T> T ceil(T x, T y) {assert(y >= 1);return (x > 0 ? (x + y - 1) / y : x / y);}template <class T> T floor(T x, T y) {assert(y >= 1);return (x > 0 ? x / y : (x - y + 1) / y);}template <class T1, class T2> inline bool chmin(T1& a, T2 b) {if (a > b) {a = b;return true;}return false;}template <class T1, class T2> inline bool chmax(T1& a, T2 b) {if (a < b) {a = b;return true;}return false;}template <typename T> void mkuni(vector<T>& v) {sort(v.begin(), v.end());v.erase(unique(v.begin(), v.end()), v.end());}template <typename T> int lwb(const vector<T>& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); }#pragma endregion#include <algorithm>#include <cassert>#include <vector>struct UnionFind {UnionFind(int n) : n(n), num(n), data(n, -1) {}int find(int x) {assert(0 <= x && x < n);return data[x] < 0 ? x : data[x] = find(data[x]);}bool merge(int x, int y) {assert(0 <= x && x < n);assert(0 <= y && y < n);if ((x = find(x)) == (y = find(y))) return false;if (-data[x] < -data[y]) std::swap(x, y);data[x] += data[y];data[y] = x;num--;return true;}bool same(int x, int y) {assert(0 <= x && x < n);assert(0 <= y && y < n);return find(x) == find(y);}int size(int x) {assert(0 <= x && x < n);return -data[find(x)];}int count() const { return num; }std::vector<std::vector<int>> groups() {std::vector<std::vector<int>> res(n);for (int i = 0; i < n; i++) res[find(i)].emplace_back(i);res.erase(std::remove_if(res.begin(), res.end(), [&](const std::vector<int>& v) { return v.empty(); }));return res;}int operator[](int x) { return find(x); }private:int n, num;// root node : -1 * component size// otherwise : parentstd::vector<int> data;};#include <numeric>#include <vector>namespace elementary_math {template <typename T> std::vector<T> divisor(T n) {std::vector<T> res;for (T i = 1; i * i <= n; i++) {if (n % i == 0) {res.emplace_back(i);if (i * i != n) res.emplace_back(n / i);}}return res;}template <typename T> std::vector<std::pair<T, int>> prime_factor(T n) {std::vector<std::pair<T, int>> res;for (T p = 2; p * p <= n; p++) {if (n % p == 0) {res.emplace_back(p, 0);while (n % p == 0) {res.back().second++;n /= p;}}}if (n > 1) res.emplace_back(n, 1);return res;}std::vector<int> osa_k(int n) {std::vector<int> min_factor(n + 1, 0);for (int i = 2; i <= n; i++) {if (min_factor[i]) continue;for (int j = i; j <= n; j += i) {if (!min_factor[j]) {min_factor[j] = i;}}}return min_factor;}std::vector<int> prime_factor(const std::vector<int>& min_factor, int n) {std::vector<int> res;while (n > 1) {res.emplace_back(min_factor[n]);n /= min_factor[n];}return res;}long long modpow(long long x, long long n, long long mod) {assert(0 <= n && 1 <= mod && mod < (1LL << 31));if (mod == 1) return 0;x %= mod;long long res = 1;while (n > 0) {if (n & 1) res = res * x % mod;x = x * x % mod;n >>= 1;}return res;}long long extgcd(long long a, long long b, long long& x, long long& y) {long long d = a;if (b != 0) {d = extgcd(b, a % b, y, x);y -= (a / b) * x;} elsex = 1, y = 0;return d;}long long inv_mod(long long a, long long mod) {assert(1 <= mod);long long x, y;if (extgcd(a, mod, x, y) != 1) return -1;return (mod + x % mod) % mod;}template <typename T> T euler_phi(T n) {auto pf = prime_factor(n);T res = n;for (const auto& p : pf) {res /= p.first;res *= p.first - 1;}return res;}std::vector<int> euler_phi_table(int n) {std::vector<int> res(n + 1, 0);iota(res.begin(), res.end(), 0);for (int i = 2; i <= n; i++) {if (res[i] != i) continue;for (int j = i; j <= n; j += i) res[j] = res[j] / i * (i - 1);}return res;}// minimum i > 0 s.t. x^i \equiv 1 \pmod{m}template <typename T> T order(T x, T m) {T n = euler_phi(m);auto cand = divisor(n);sort(cand.begin(), cand.end());for (auto& i : cand) {if (modpow(x, i, m) == 1) {return i;}}return -1;}} // namespace elementary_mathconst int INF = 1e9;const long long IINF = 1e18;const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};const char dir[4] = {'D', 'R', 'U', 'L'};const long long MOD = 1000000007;// const long long MOD = 998244353;const int MAX_A = 100010;int main() {cin.tie(0);ios::sync_with_stdio(false);int N;cin >> N;vector<int> A(N);cin >> A;vector<int> cnt(MAX_A, 0);vector<int> cand;for (int& x : A) cnt[x]++;ll ans = 0;for (int i = 1; i < MAX_A; i++) {if (cnt[i] == 0) continue;ans += 1LL * i * (cnt[i] - 1);cand.emplace_back(i);}int n = cand.size();UnionFind UF(n);vector<deque<pair<ll, int>>> div(MAX_A);for (int i = 0; i < n; i++) {auto d = elementary_math::divisor(cand[i]);for (int& y : d) div[y].emplace_back(cand[i], i);}priority_queue<pair<ll, int>> pq;for (int i = 1; i < MAX_A; i++) {if (div[i].size() < 2) continue;pq.emplace(-div[i][0].first * div[i][1].first / i, i);}auto UPDATE = [&](int x) {auto p = div[x].front();div[x].pop_front();while (!div[x].empty() and UF.same(div[x].front().second, p.second)) div[x].pop_front();div[x].emplace_front(p);if (div[x].size() < 2) return;pq.emplace(-div[x][0].first * div[x][1].first / x, x);};auto MERGE = [&](int x) {if (!UF.merge(div[x][0].second, div[x][1].second)) {UPDATE(x);return;}ans += div[x][0].first * div[x][1].first / x;auto p = div[x].front();div[x].pop_front();div[x].emplace_front(p);UPDATE(x);};while (UF.count() > 1) {auto p = pq.top();pq.pop();MERGE(p.second);}cout << ans << '\n';return 0;}