結果

問題 No.1917 LCMST
ユーザー haruki_Kharuki_K
提出日時 2022-04-29 23:25:48
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,696 ms / 4,000 ms
コード長 8,667 bytes
コンパイル時間 2,752 ms
コンパイル使用メモリ 224,332 KB
実行使用メモリ 77,296 KB
最終ジャッジ日時 2023-09-11 15:02:10
合計ジャッジ時間 39,012 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge13
このコードへのチャレンジ（β）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 7 ms
10,912 KB
testcase_01 AC 7 ms
10,868 KB
testcase_02 AC 6 ms
10,916 KB
testcase_03 AC 13 ms
11,660 KB
testcase_04 AC 14 ms
11,612 KB
testcase_05 AC 14 ms
11,656 KB
testcase_06 AC 14 ms
11,876 KB
testcase_07 AC 14 ms
11,632 KB
testcase_08 AC 7 ms
11,024 KB
testcase_09 AC 1,673 ms
75,820 KB
testcase_10 AC 1,682 ms
76,080 KB
testcase_11 AC 1,696 ms
75,284 KB
testcase_12 AC 1,436 ms
66,876 KB
testcase_13 AC 613 ms
34,288 KB
testcase_14 AC 1,555 ms
71,276 KB
testcase_15 AC 382 ms
24,212 KB
testcase_16 AC 629 ms
35,192 KB
testcase_17 AC 889 ms
46,644 KB
testcase_18 AC 1,083 ms
53,320 KB
testcase_19 AC 355 ms
22,500 KB
testcase_20 AC 272 ms
18,116 KB
testcase_21 AC 383 ms
23,880 KB
testcase_22 AC 272 ms
18,116 KB
testcase_23 AC 267 ms
18,196 KB
testcase_24 AC 367 ms
23,276 KB
testcase_25 AC 276 ms
18,500 KB
testcase_26 AC 307 ms
20,264 KB
testcase_27 AC 322 ms
20,780 KB
testcase_28 AC 340 ms
21,736 KB
testcase_29 AC 1,345 ms
77,128 KB
testcase_30 AC 1,324 ms
77,132 KB
testcase_31 AC 1,332 ms
76,996 KB
testcase_32 AC 1,507 ms
77,072 KB
testcase_33 AC 1,483 ms
77,124 KB
testcase_34 AC 115 ms
11,352 KB
testcase_35 AC 114 ms
11,172 KB
testcase_36 AC 114 ms
11,196 KB
testcase_37 AC 1,372 ms
76,932 KB
testcase_38 AC 1,566 ms
77,092 KB
testcase_39 AC 1,442 ms
77,296 KB
testcase_40 AC 1,417 ms
77,000 KB
testcase_41 AC 1,393 ms
77,096 KB
testcase_42 AC 1,475 ms
77,284 KB
testcase_43 AC 120 ms
11,880 KB
testcase_44 AC 122 ms
11,952 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#define oj_local(x, y) (y)
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#define oj_local(x, y) (x)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }
template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }
bool next_product(vector<int> &v, int m) {
    repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0;
    return false;
}
bool next_product(vector<int> &v, vector<int> const& s) {
    repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0;
    return false;
}
template <class vec> int sort_unique(vec &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
    return v.size();
}
template <class It> auto prefix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(s.back() + *l++);
    return s;
}
template <class It> auto suffix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(*--r + s.back());
    reverse(s.begin(), s.end());
    return s;
}
template <class T> T pop(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T, class V, class C> T pop(priority_queue<T, V, C> &a) { auto x = a.top(); a.pop(); return x; }
template <class T> T pop(queue<T> &a) { auto x = a.front(); a.pop(); return x; }
template <class T> T pop_front(deque<T> &a) { auto x = a.front(); a.pop_front(); return x; }
template <class T> T pop_back(deque<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T> T pop_front(set<T> &a) { auto x = *a.begin(); a.erase(a.begin()); return x; }
template <class T> T pop_back(set<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
template <class T> T pop_front(multiset<T> &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; }
template <class T> T pop_back(multiset<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
// <<<
vector<int> divisors(int n) {
    assert(n > 0);
    static vector<int> a;
    a.clear();
    const uint64_t m = n;
    uint64_t x = 1;
    for ( ; x*x < m; x++) if (m % uint32_t(x) == 0) a.push_back(x);
    const auto s = a.size();
    if (x*x == m) a.push_back(x);
    a.reserve(a.size()+s);
    rep (i, s) a.push_back(m/(uint32_t)a[s-1-i]);
    return a;
}

int32_t main() {
    int n; cin >> n;
    vector<int> a(n); cin >> a;

    int ans = 0;
    {
        sort(all(a));
        vector<int> b;
        for (int x : a) {
            if (b.size() and b.back() == x) {
                ans += x;
            } else {
                b.eb(x);
            }
        }
        swap(a, b);
        n = a.size();
        dump(n, a);
    }

    const int MAX = 1e5 + 10;
    vector<vector<int>> ds(MAX+1);
    rep (i, n) ds[a[i]] = divisors(a[i]);

    vector<int> mi(MAX+1, INF);
    vector<multiset<int>> st(MAX+1);
    set<pair<int, int>> S; // cost, a

    rep (i, n) {
        for (int d : ds[a[i]]) {
            st[d].insert(a[i]);
        }
    }
    auto gen = [&](int d) -> pair<int, int> {
        if (st[d].size()) {
            int top = *begin(st[d]);
            assert(mi[d] < INF);
            int cost = mi[d] * top / d;
            return { cost, top };
        } else {
            return { INF, INF };
        }
    };
    rep1 (d, MAX) {
        auto it = st[d].find(a[0]);
        if (it == st[d].end()) continue;
        st[d].erase(it);
        mi[d] = a[0];
        S.emplace(gen(d));
    }

//    int ans = 0;
    rep (i, n-1) {
        auto it = S.begin();
        assert(it != S.end());
        auto [cost, val] = *it;
        dump(i, cost, val);
        ans += cost;

        for (int d : ds[val]) {
            assert(st[d].size());
            if (mi[d] < INF) S.erase(gen(d));

            auto jt = st[d].find(val);
            assert(jt != st[d].end());
            st[d].erase(jt);
            chmin(mi[d], val);

            S.emplace(gen(d));
        }
    }

    cout << ans << '\n';

}
0