結果

問題 No.2497 GCD of LCMs
ユーザー stoqstoq
提出日時 2023-10-07 20:07:41
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 152 ms / 2,000 ms
コード長 6,976 bytes
コンパイル時間 5,543 ms
コンパイル使用メモリ 294,072 KB
実行使用メモリ 4,488 KB
最終ジャッジ日時 2023-10-07 20:07:48
合計ジャッジ時間 7,420 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge15
このコードへのチャレンジ
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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 5 ms
4,380 KB
testcase_01 AC 4 ms
4,376 KB
testcase_02 AC 4 ms
4,376 KB
testcase_03 AC 5 ms
4,380 KB
testcase_04 AC 5 ms
4,384 KB
testcase_05 AC 5 ms
4,380 KB
testcase_06 AC 5 ms
4,424 KB
testcase_07 AC 16 ms
4,436 KB
testcase_08 AC 33 ms
4,488 KB
testcase_09 AC 37 ms
4,416 KB
testcase_10 AC 132 ms
4,380 KB
testcase_11 AC 38 ms
4,420 KB
testcase_12 AC 87 ms
4,432 KB
testcase_13 AC 151 ms
4,420 KB
testcase_14 AC 114 ms
4,424 KB
testcase_15 AC 108 ms
4,484 KB
testcase_16 AC 152 ms
4,380 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 # 

#define MOD_TYPE 2

#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
// #include <atcoder/lazysegtree>
// #include <atcoder/modint>
// #include <atcoder/segtree>
using namespace atcoder;
#if 0
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif
#if 0
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template <typename T>
using extset =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#endif
#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#pragma region Macros
using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;
#if MOD_TYPE == 1
constexpr ll MOD = ll(1e9 + 7);
#else
#if MOD_TYPE == 2
constexpr ll MOD = 998244353;
#else
constexpr ll MOD = 1000003;
#endif
#endif
using mint = static_modint<MOD>;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
const double PI = acos(-1.0);
constexpr ld EPS = 1e-10;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};
#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define RREP(i, m, n) for (ll i = n - 1; i >= m; i--)
#define rrep(i, n) RREP(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";
#define UNIQUE(v) v.erase(unique(all(v)), v.end())
struct io_init {
  io_init() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(20) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
inline ll floor(ll a, ll b) {
  if (b < 0) a *= -1, b *= -1;
  if (a >= 0) return a / b;
  return -((-a + b - 1) / b);
}
inline ll ceil(ll a, ll b) { return floor(a + b - 1, b); }
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val) {
  fill((T *)array, (T *)(array + N), val);
}
template <typename T>
vector<T> compress(vector<T> &v) {
  vector<T> val = v;
  sort(all(val)), val.erase(unique(all(val)), val.end());
  for (auto &&vi : v) vi = lower_bound(all(val), vi) - val.begin();
  return val;
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept {
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> p) noexcept {
  os << p.first << " " << p.second;
  return os;
}
ostream &operator<<(ostream &os, mint m) {
  os << m.val();
  return os;
}
ostream &operator<<(ostream &os, modint m) {
  os << m.val();
  return os;
}
template <typename T>
constexpr istream &operator>>(istream &is, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++) is >> v[i];
  return is;
}
template <typename T>
constexpr ostream &operator<<(ostream &os, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++)
    os << v[i] << (i + 1 == v.size() ? "" : " ");
  return os;
}
template <typename T>
constexpr void operator--(vector<T> &v, int) noexcept {
  for (int i = 0; i < v.size(); i++) v[i]--;
}
random_device seed_gen;
mt19937_64 engine(seed_gen());
inline ll randInt(ll l, ll r) { return engine() % (r - l + 1) + l; }
struct BiCoef {
  vector<mint> fact_, inv_, finv_;
  BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    for (int i = 2; i < n; i++) {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }
  mint C(ll n, ll k) const noexcept {
    if (n < k || n < 0 || k < 0) return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }
  mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; }
  mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); }
  mint Ch1(ll n, ll k) const noexcept {
    if (n < 0 || k < 0) return 0;
    mint res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1);
    return res;
  }
  mint fact(ll n) const noexcept {
    if (n < 0) return 0;
    return fact_[n];
  }
  mint inv(ll n) const noexcept {
    if (n < 0) return 0;
    return inv_[n];
  }
  mint finv(ll n) const noexcept {
    if (n < 0) return 0;
    return finv_[n];
  }
};
BiCoef bc(100010);
#pragma endregion

// -------------------------------

map<int, int> factrization(int n) {
  map<int, int> res;
  for (int i = 2; i * i <= n; ++i) {
    while (n % i == 0) {
      n /= i;
      res[i]++;
    }
  }
  if (n > 1) res[n]++;
  return res;
}

bool is_prime(ll n) {
  if (n <= 1) return false;
  for (ll i = 2; i * i <= n; i++) {
    if (n % i == 0) return false;
  }
  return true;
}

void divisor(ll prod, map<ll, int>::iterator itr, map<ll, int> &F,
             vector<ll> &res) {
  if (itr == F.end()) {
    res.push_back(prod);
    return;
  }
  auto [p, e] = *itr;
  rep(_, e + 1) {
    divisor(prod, next(itr), F, res);
    prod *= p;
  }
}
void divisor(map<ll, int> &F, vector<ll> &res) {
  auto itr = F.begin();
  divisor(1, itr, F, res);
  sort(all(res));
  res.erase(unique(all(res)), res.end());
}

void solve() {
  int n, m;
  cin >> n >> m;
  vector<int> a(n);
  cin >> a;
  vector<vector<int>> G(n);
  rep(i, m) {
    int x, y;
    cin >> x >> y;
    x--, y--;
    G[x].push_back(y);
    G[y].push_back(x);
  }
  vector<map<int, int>> F(n);
  vector<int> primes;
  rep(i, n) {
    F[i] = factrization(a[i]);
    for (auto [p, e] : F[i]) {
      primes.push_back(p);
    }
  }
  sort(all(primes));
  UNIQUE(primes);
  vector<mint> g(n, 1);
  for (auto p : primes) {
    vector<pii> v;
    rep(i, n) {
      if (F[i].count(p))
        v.push_back({F[i][p], i});
      else
        v.push_back({0, i});
    }
    sort(all(v));
    vector<int> used(n);
    vector<int> Min(n, INF);
    dsu uf(n);
    for (auto [e, i] : v) {
      used[i] = true;
      for (auto x : G[i]) {
        if (not used[x]) continue;
        uf.merge(i, x);
      }
      rep(x, n) {
        if (uf.same(0, x)) chmin(Min[x], e);
      }
    }
    rep(i, n) g[i] *= mint(p).pow(Min[i]);
  }
  g[0] = a[0];
  rep(i, n) cout << g[i] << "\n";
}

int main() { solve(); }
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