結果
| 問題 | No.2497 GCD of LCMs |
| ユーザー |
 tokusakurai
|
| 提出日時 | 2023-10-06 21:55:51 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 80 ms / 2,000 ms |
| コード長 | 11,016 bytes |
| コンパイル時間 | 2,626 ms |
| コンパイル使用メモリ | 226,276 KB |
| 最終ジャッジ日時 | 2025-02-17 05:00:30 |
|
ジャッジサーバーID （参考情報） |
judge1 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 14 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n)-1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
using maxheap = priority_queue<T>;
template <typename T>
bool chmax(T &x, const T &y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
bool chmin(T &x, const T &y) {
return (x > y) ? (x = y, true) : false;
}
template <typename T>
int flg(T x, int i) {
return (x >> i) & 1;
}
int pct(int x) { return __builtin_popcount(x); }
int pct(ll x) { return __builtin_popcountll(x); }
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
void print(const vector<T> &v, T x = 0) {
int n = v.size();
for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
if (v.empty()) cout << '\n';
}
template <typename T>
void printn(const vector<T> &v, T x = 0) {
int n = v.size();
for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}
template <typename T>
int lb(const vector<T> &v, T x) {
return lower_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, T x) {
return upper_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
void rearrange(vector<T> &v) {
sort(begin(v), end(v));
v.erase(unique(begin(v), end(v)), end(v));
}
template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
int n = v.size();
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
return ret;
}
template <typename T>
void reorder(vector<T> &a, const vector<int> &ord) {
int n = a.size();
vector<T> b(n);
for (int i = 0; i < n; i++) b[i] = a[ord[i]];
swap(a, b);
}
template <typename T>
T floor(T x, T y) {
assert(y != 0);
if (y < 0) x = -x, y = -y;
return (x >= 0 ? x / y : (x - y + 1) / y);
}
template <typename T>
T ceil(T x, T y) {
assert(y != 0);
if (y < 0) x = -x, y = -y;
return (x >= 0 ? (x + y - 1) / y : x / y);
}
template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
return make_pair(p.first + q.first, p.second + q.second);
}
template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
return make_pair(p.first - q.first, p.second - q.second);
}
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
S a;
T b;
is >> a >> b;
p = make_pair(a, b);
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
return os << p.first << ' ' << p.second;
}
struct io_setup {
io_setup() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(15);
}
} io_setup;
constexpr int inf = (1 << 30) - 1;
constexpr ll INF = (1LL << 60) - 1;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;
template <int mod>
struct Mod_Int {
int x;
Mod_Int() : x(0) {}
Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
static int get_mod() { return mod; }
Mod_Int &operator+=(const Mod_Int &p) {
if ((x += p.x) >= mod) x -= mod;
return *this;
}
Mod_Int &operator-=(const Mod_Int &p) {
if ((x += mod - p.x) >= mod) x -= mod;
return *this;
}
Mod_Int &operator*=(const Mod_Int &p) {
x = (int)(1LL * x * p.x % mod);
return *this;
}
Mod_Int &operator/=(const Mod_Int &p) {
*this *= p.inverse();
return *this;
}
Mod_Int &operator++() { return *this += Mod_Int(1); }
Mod_Int operator++(int) {
Mod_Int tmp = *this;
++*this;
return tmp;
}
Mod_Int &operator--() { return *this -= Mod_Int(1); }
Mod_Int operator--(int) {
Mod_Int tmp = *this;
--*this;
return tmp;
}
Mod_Int operator-() const { return Mod_Int(-x); }
Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; }
Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; }
Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; }
Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; }
bool operator==(const Mod_Int &p) const { return x == p.x; }
bool operator!=(const Mod_Int &p) const { return x != p.x; }
Mod_Int inverse() const {
assert(*this != Mod_Int(0));
return pow(mod - 2);
}
Mod_Int pow(long long k) const {
Mod_Int now = *this, ret = 1;
for (; k > 0; k >>= 1, now *= now) {
if (k & 1) ret *= now;
}
return ret;
}
friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; }
friend istream &operator>>(istream &is, Mod_Int &p) {
long long a;
is >> a;
p = Mod_Int<mod>(a);
return is;
}
};
using mint = Mod_Int<MOD>;
template <typename T>
vector<T> divisors(const T &n) {
vector<T> ret;
for (T i = 1; i * i <= n; i++) {
if (n % i == 0) {
ret.push_back(i);
if (i * i != n) ret.push_back(n / i);
}
}
sort(begin(ret), end(ret));
return ret;
}
template <typename T>
vector<pair<T, int>> prime_factor(T n) {
vector<pair<T, int>> ret;
for (T i = 2; i * i <= n; i++) {
int cnt = 0;
while (n % i == 0) cnt++, n /= i;
if (cnt > 0) ret.emplace_back(i, cnt);
}
if (n > 1) ret.emplace_back(n, 1);
return ret;
}
template <typename T>
bool is_prime(const T &n) {
if (n == 1) return false;
for (T i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
// 1,2,...,n のうち k と互いに素である自然数の個数
template <typename T>
T count_coprime(T n, T k) {
vector<pair<T, int>> ps = prime_factor(k);
int m = ps.size();
T ret = 0;
for (int i = 0; i < (1 << m); i++) {
T prd = 1;
for (int j = 0; j < m; j++) {
if ((i >> j) & 1) prd *= ps[j].first;
}
ret += (__builtin_parity(i) ? -1 : 1) * (n / prd);
}
return ret;
}
vector<bool> Eratosthenes(const int &n) {
vector<bool> ret(n + 1, true);
if (n >= 0) ret[0] = false;
if (n >= 1) ret[1] = false;
for (int i = 2; i * i <= n; i++) {
if (!ret[i]) continue;
for (int j = i + i; j <= n; j += i) ret[j] = false;
}
return ret;
}
vector<int> Eratosthenes2(const int &n) {
vector<int> ret(n + 1);
iota(begin(ret), end(ret), 0);
if (n >= 0) ret[0] = -1;
if (n >= 1) ret[1] = -1;
for (int i = 2; i * i <= n; i++) {
if (ret[i] < i) continue;
for (int j = i + i; j <= n; j += i) ret[j] = min(ret[j], i);
}
return ret;
}
// n 以下の素数の数え上げ
template <typename T>
T count_prime(T n) {
if (n < 2) return 0;
vector<T> ns = {0};
for (T i = n; i > 0; i = n / (n / i + 1)) ns.push_back(i);
vector<T> h = ns;
for (T &x : h) x--;
for (T x = 2, m = sqrtl(n), k = ns.size(); x <= m; x++) {
if (h[k - x] == h[k - x + 1]) continue; // h(x-1,x-1) = h(x-1,x) ならば x は素数ではない
T x2 = x * x, pi = h[k - x + 1];
for (T i = 1, j = ns[i]; i < k && j >= x2; j = ns[++i]) h[i] -= h[i * x <= m ? i * x : k - j / x] - pi;
}
return h[1];
}
// i 以下で i と互いに素な自然数の個数のテーブル
vector<int> Euler_totient_table(const int &n) {
vector<int> dp(n + 1, 0);
for (int i = 1; i <= n; i++) dp[i] = i;
for (int i = 2; i <= n; i++) {
if (dp[i] == i) {
dp[i]--;
for (int j = i + i; j <= n; j += i) {
dp[j] /= i;
dp[j] *= i - 1;
}
}
}
return dp;
}
// 約数包除に用いる係数テーブル (平方数で割り切れるなら 0、素因数の種類が偶数なら +1、奇数なら -1)
vector<int> inclusion_exclusion_table(int n) {
auto p = Eratosthenes2(n);
vector<int> ret(n + 1, 0);
if (n >= 1) ret[1] = 1;
for (int i = 2; i <= n; i++) {
int x = p[i], j = i / x;
ret[i] = (p[j] == x ? 0 : -ret[j]);
}
return ret;
}
struct Union_Find_Tree {
vector<int> data;
const int n;
int cnt;
Union_Find_Tree(int n) : data(n, -1), n(n), cnt(n) {}
int root(int x) {
if (data[x] < 0) return x;
return data[x] = root(data[x]);
}
int operator[](int i) { return root(i); }
bool unite(int x, int y) {
x = root(x), y = root(y);
if (x == y) return false;
if (data[x] > data[y]) swap(x, y);
data[x] += data[y], data[y] = x;
cnt--;
return true;
}
int size(int x) { return -data[root(x)]; }
int count() { return cnt; };
bool same(int x, int y) { return root(x) == root(y); }
void clear() {
cnt = n;
fill(begin(data), end(data), -1);
}
};
void solve() {
int N, M;
cin >> N >> M;
vector<map<int, int>> mp(N);
vector<int> p;
vector<int> a(N);
rep(i, N) {
int x;
cin >> x;
a[i] = x;
auto ps = prime_factor(x);
each(e, ps) mp[i].emplace(e), p.eb(e.first);
}
rearrange(p);
vector<mint> ans(N, 1);
vector<vector<int>> es(N);
rep(i, M) {
int u, v;
cin >> u >> v;
u--, v--;
es[u].eb(v), es[v].eb(u);
}
each(e, p) {
vector<int> v(N);
rep(i, N) v[i] = mp[i][e];
auto ord = id_sort(v, false);
// print(v);
vector<int> mi(N, inf);
mi[0] = 0;
Union_Find_Tree uf(N);
rep(i, N) {
int u = ord[i];
each(w, es[u]) if (v[w] <= v[u]) uf.unite(u, w);
if (i == N - 1 || v[ord[i]] < v[ord[i + 1]]) {
rep(j, N) {
if (uf.same(0, j)) chmin(mi[j], v[ord[i]]);
}
}
}
rep(i, N) ans[i] *= mint(e).pow(mi[i]);
}
ans[0] = a[0];
printn(ans);
}
int main() {
int T = 1;
// cin >> T;
while (T--) solve();
}