結果

問題 No.3250 最小公倍数
コンテスト
ユーザー そすうぽよ
提出日時 2025-08-30 01:43:27
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,855 ms / 2,000 ms
コード長 7,056 bytes
コンパイル時間 2,292 ms
コンパイル使用メモリ 208,824 KB
実行使用メモリ 41,004 KB
最終ジャッジ日時 2025-10-16 16:52:49
合計ジャッジ時間 19,764 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 22
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 # 

#include <bits/stdc++.h>

#include <variant>

#define rep2(i, k, n) for (i64 i = (i64)(k); i < (i64)(n); i++)
#define rep(i, n) rep2(i, 0, n)
#define all(x) begin(x), end(x)
#ifdef ENV_LOCAL
#define dump \
  if (1) cerr
#else
#define dump \
  if (0) cerr
#endif

using namespace std;
using namespace std::string_literals;

using i32 = int32_t;
using i64 = int64_t;
using f64 = double;
using f80 = long double;
using vi32 = vector<i32>;
using vi64 = vector<i64>;

/*
 * harudake::modint
 *
 * Copyright (c) 2021 prime number
 *
 * This software is released under the MIT license.
 * see https://opensource.org/licenses/MIT
 *
 */
namespace harudake {

template <typename base_t, base_t MOD>
class static_modint;

using modint_1000000007 = static_modint<uint64_t, 1'000'000'007>;
using modint_998244353 = static_modint<uint64_t, 998'244'353>;

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> add(const static_modint<base_t, MOD> lhs,
                               const static_modint<base_t, MOD> rhs) {
  base_t tmp = lhs.val + rhs.val;
  if (tmp >= MOD) tmp -= MOD;
  return static_modint<base_t, MOD>::make_raw(tmp);
}

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> sub(const static_modint<base_t, MOD> lhs,
                               const static_modint<base_t, MOD> rhs) {
  base_t tmp = lhs.val + MOD - rhs.val;
  if (tmp >= MOD) tmp -= MOD;
  return static_modint<base_t, MOD>::make_raw(tmp);
}

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> mul(const static_modint<base_t, MOD> lhs,
                               const static_modint<base_t, MOD> rhs) {
  base_t tmp = lhs.val * rhs.val;
  tmp %= MOD;
  return static_modint<base_t, MOD>::make_raw(tmp);
}

// data types must be signed integer
inline int64_t inv(const int64_t a, const int64_t p) {
  return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
};

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> div(const static_modint<base_t, MOD> lhs,
                               const static_modint<base_t, MOD> rhs) {
  base_t tmp = lhs.val * inv(rhs.val, MOD);
  tmp %= MOD;
  return static_modint<base_t, MOD>::make_raw(tmp);
}

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> pow(const static_modint<base_t, MOD> base,
                               const uint64_t index) {
  if (index == 0) return static_modint<base_t, MOD>{1};
  if (index % 2 == 1) {
    return pow(base, index - 1) * base;
  } else {
    auto half = pow(base, index / 2);
    return half * half;
  }
}

template <typename base_t, base_t MOD>
class static_modint {
  using modint = static_modint;

 public:
  static constexpr base_t mod = MOD;
  static_modint() : val(0) {}
  static_modint(const base_t x) : val(x % MOD) {}
  static_modint(const modint&) = default;
  modint& operator=(const modint&) = default;
  modint& operator=(const base_t x) {
    val = x % MOD;
    return *this;
  }
  modint operator-() const { return val == 0 ? 0 : MOD - val; }
  explicit operator base_t() const { return val; }
  base_t get() const { return val; }
  constexpr base_t get_mod() const { return mod; }
  static modint make_raw(const base_t raw) {
    modint res;
    res.val = raw;
    return res;
  }

 private:
  friend modint add<base_t, MOD>(const modint, const modint);
  friend modint sub<base_t, MOD>(const modint, const modint);
  friend modint mul<base_t, MOD>(const modint, const modint);
  friend modint div<base_t, MOD>(const modint, const modint);
  base_t val;
};

template <typename base_t, base_t MOD>
static_modint<base_t, MOD> operator+(const static_modint<base_t, MOD> lhs,
                                     const static_modint<base_t, MOD> rhs) {
  return add(lhs, rhs);
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD> operator-(const static_modint<base_t, MOD> lhs,
                                     const static_modint<base_t, MOD> rhs) {
  return sub(lhs, rhs);
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD> operator*(const static_modint<base_t, MOD> lhs,
                                     const static_modint<base_t, MOD> rhs) {
  return mul(lhs, rhs);
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD> operator/(const static_modint<base_t, MOD> lhs,
                                     const static_modint<base_t, MOD> rhs) {
  return div(lhs, rhs);
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD> operator^(const static_modint<base_t, MOD> lhs,
                                     const uint64_t rhs) {
  return pow(lhs, rhs);
}

template <typename base_t, base_t MOD>
static_modint<base_t, MOD>& operator+=(static_modint<base_t, MOD>& lhs,
                                       const static_modint<base_t, MOD> rhs) {
  return lhs = lhs + rhs;
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD>& operator-=(static_modint<base_t, MOD>& lhs,
                                       const static_modint<base_t, MOD> rhs) {
  return lhs = lhs - rhs;
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD>& operator*=(static_modint<base_t, MOD>& lhs,
                                       const static_modint<base_t, MOD> rhs) {
  return lhs = lhs * rhs;
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD>& operator/=(static_modint<base_t, MOD>& lhs,
                                       const static_modint<base_t, MOD> rhs) {
  return lhs = lhs / rhs;
}
template <typename base_t, base_t MOD>
static_modint<base_t, MOD>& operator^=(static_modint<base_t, MOD>& lhs,
                                       const uint64_t rhs) {
  return lhs = lhs ^ rhs;
}

}  // namespace harudake

using namespace harudake;
using mint = modint_998244353;

struct dp_data {
  map<i32, i32> factors;
  mint prod;
};

map<i32, i32> factorize(i32 x) {
  map<i32, i32> res;
  for (i32 i = 2; i * i <= x; i++) {
    while (x % i == 0) {
      res[i]++;
      x /= i;
    }
  }
  if (x > 1) res[x]++;
  return res;
}

dp_data to_dp_data(i32 x) {
  dp_data res;
  res.prod = 1;
  for (auto [p, e] : factorize(x)) {
    res.factors[p] = e;
    res.prod *= mint(p) ^ e;
  }
  return res;
}

void merge_dp_data(dp_data& a, dp_data& b) {
  if (a.factors.size() < b.factors.size()) swap(a, b);
  for (auto [p, e] : b.factors) {
    if (a.factors[p] < e) {
      a.prod *= mint(p) ^ (e - a.factors[p]);
      a.factors[p] = e;
    }
  }
}

dp_data dfs(i32 v, i32 p, const vector<vi32>& t, const vi32& a,
            vector<mint>& ans) {
  dp_data res = to_dp_data(a[v]);
  for (i32 u : t[v]) {
    if (u == p) continue;
    auto sub = dfs(u, v, t, a, ans);
    merge_dp_data(res, sub);
  }
  ans[v] = res.prod;
  return res;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  i32 n;
  cin >> n;
  vi32 a(n);
  rep(i, n) cin >> a[i];
  vector<vi32> t(n);
  rep(i, n - 1) {
    i32 u, v;
    cin >> u >> v;
    u--;
    v--;
    t[u].push_back(v);
    t[v].push_back(u);
  }
  vector<mint> ans(n);
  dfs(0, -1, t, a, ans);
  rep(i, n) { cout << ans[i].get() << "\n"; }
  return 0;
}
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