#1185227 (C++23) No.3688 LCM Sum

• 問題: No.3688 LCM Sum
• ユーザー: ooaiu
• 提出日時: 2026-09-09 15:47:14
• 言語: C++23 (gcc 15.3.0 + boost 1.92.0 + ACL)
• 結果: TLE
• 実行時間: -
• コード長: 5,992 bytes
• コンパイル時間: 2,754 ms
• コンパイル使用メモリ: 363,984 KB
• 実行使用メモリ: 355,072 KB
• 最終ジャッジ日時: 2026-09-09 15:48:52
• 合計ジャッジ時間: 64,812 ms
• ジャッジサーバーID （参考情報）: judge3_0 / judge1_0

ファイルパターン	結果
sample	TLE * 3
other	TLE * 11

ソースコード

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>
using namespace std;


template <class F> class y_combinator {
    F f;

   public:
    y_combinator(F&& f) : f(std::forward<F>(f)) {}
    template <class... Args> auto operator()(Args&&... args) const { return f(*this, std::forward<Args>(args)...); }
};

constexpr int dx[8] = {1, 0, -1, 0, 1, 1, -1, -1};
constexpr int dy[8] = {0, 1, 0, -1, 1, -1, 1, -1};

using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;

using vi = vector<int>;
using vl = vector<ll>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T, class U = std::less<T>> using prique = priority_queue<T, vector<T>, U>;

#define overload(a, b, c, d, e, ...) e
#define len(x) (ll)(x.size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define rep1(n) for (ll _ = 0; _ < ll(n); _++)
#define rep2(i, n) for (ll i = 0; i < ll(n); i++)
#define rep3(i, a, b) for (ll i = ll(a); i < ll(b); i++)
#define rep4(i, a, b, c) for (ll i = ll(a); i < ll(b); i += ll(c))
#define rep(...) overload(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep(i, n) for (ll i = ll(n) - 1; i >= 0; i--)

template <class T> void dedup(vector<T>& a) { sort(all(a)), a.erase(unique(all(a)), a.end()); }
template <class T> bool chmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template <class T> bool chmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }

namespace cppio {

template <typename T> struct is_tuple_like : false_type {};
template <typename... Ts> struct is_tuple_like<tuple<Ts...>> : true_type {};
template <typename T, typename U> struct is_tuple_like<pair<T, U>> : true_type {};

template <typename T, typename = void> struct is_container : false_type {};
template <typename T> struct is_container<T, void_t<decltype(begin(declval<T&>()))>> : bool_constant<!is_same_v<decay_t<T>, string> && !is_same_v<decay_t<T>, char*> && !is_same_v<decay_t<T>, const char*> && !is_array_v<remove_reference_t<T>>> {};

template <typename T> void _in(T& x) {
    if constexpr (is_tuple_like<T>::value) apply([](auto&... elems) { (_in(elems), ...); }, x);
    else if constexpr (is_container<T>::value) {
        for (auto& e : x) _in(e);
    } else cin >> x;
}

template <typename... Ts> void _in_all(Ts&... args) { (_in(args), ...); }

template <typename T> void _out(const T& x) {
    bool first = true;
    if constexpr (is_tuple_like<T>::value) {
        apply([&](const auto&... elems) { ((cout << (first ? "" : " "), _out(elems), first = false), ...); }, x);
    } else if constexpr (is_container<T>::value) {
        for (const auto& e : x) {
            if (!first) cout << ' ';
            _out(e), first = false;
        }
    } else cout << x;
}

template <typename... Ts> void _print(const Ts&... args) {
    bool first = true;
    ((cout << (first ? "" : " "), _out(args), first = false), ...);
}

template <typename... Ts> void _out_all(const Ts&... args) { _print(args...), cout << '\n'; }
template <typename... Ts> void _out_no_el(const Ts&... args) { _print(args...); }

}  // namespace cppio

#define IN(...) cppio::_in_all(__VA_ARGS__)
#define OUT(...) cppio::_out_all(__VA_ARGS__)
#define out(...) cppio::_out_no_el(__VA_ARGS__)

#define INT(...) int __VA_ARGS__; IN(__VA_ARGS__)
#define LL(...)  ll __VA_ARGS__; IN(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; IN(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; IN(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; IN(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); IN(name)
#define VV(type, name, h, w)  vector<vector<type>> name(h, vector<type>(w)); IN(name)
#define RETURN(...) do { __VA_ARGS__; return; } while (0)

bool Yes(bool b = true) { OUT(b ? "Yes" : "No"); return b; }
bool No(bool b = true) { Yes(!b); return b; }
bool YES(bool b = true) { OUT(b ? "YES" : "NO"); return b; }
bool NO(bool b = true) { YES(!b); return b; }

#ifdef ONLINE_JUDGE
#define debug(...) (void(0))
#endif

template <class Mint> struct Binom {
   private:
    std::vector<Mint> _fact, _ifac;

   public:
    explicit Binom(size_t N = 0) : _fact(1, 1), _ifac(1, 1) { extend(N); }

    void extend(size_t N) {
        const size_t a = _fact.size();
        if (a > N) return;
        _fact.resize(N + 1);
        for (size_t i = a; i <= N; i++) _fact[i] = _fact[i - 1] * i;
        _ifac.resize(N + 1);
        _ifac[N] = Mint{1} / _fact[N];
        for (size_t i = N; i > a; i--) _ifac[i - 1] = _ifac[i] * i;
    }

    Mint fact(size_t x) {
        extend(x);
        return _fact[x];
    }
    Mint invfact(size_t x) {
        extend(x);
        return _ifac[x];
    }
    Mint perm(size_t N, size_t K) {
        if (N < K) return Mint{0};
        return this->fact(N) * this->invfact(N - K);
    }
    Mint comb(size_t N, size_t K) {
        if (N < K) return Mint{0};
        return this->fact(N) * this->invfact(K) * this->invfact(N - K);
    }
    Mint homo(size_t N, size_t K) {
        if (N == 0) return K == 0 ? Mint{1} : Mint{0};
        return comb(N - 1 + K, K);
    }
};

#include <atcoder/modint>
using mint = atcoder::modint998244353;
const int maxn = 30'000'002;
mint mu[maxn];
Binom<mint> C(maxn);
void run_case() {
    INT(N, M);
    int L = min(N, M);
    for (int i = 1; i < maxn; i++) {
        mu[i] += C.fact(i - 1) * C.invfact(i);
        const mint v = mu[i];
        for (int j = i + i; j < maxn; j += i) mu[j] -= v;
    }
    mint ans;
    const mint inv2 = mint::raw(2).inv();
    rep(g, 1, L + 1) {
        mint a = mint::raw(N / g), b = mint::raw(M / g);
        mint ng = mint::raw(g);
        ans += mu[g] * a * b * ng * ng * (a + 1) * (b + 1);
    }
    ans *= inv2 * inv2;
    OUT(ans.val());
}
int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    std::fixed(std::cout).precision(16);
    ll t = 1;
    while (t--) run_case();
}