結果

問題 No.3250 最小公倍数
ユーザー mkawa2
提出日時 2025-09-02 14:41:04
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 4,825 bytes
コンパイル時間 338 ms
コンパイル使用メモリ 82,348 KB
実行使用メモリ 310,436 KB
最終ジャッジ日時 2025-09-02 14:41:11
合計ジャッジ時間 5,862 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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 * 4 TLE * 1 -- * 16
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 # 

import sys

# sys.setrecursionlimit(200005)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 62)

# md = 10**9+7
md = 998244353

from collections import defaultdict

class Sieve:
    def __init__(self, n):
        self.plist = [2]
        min_prime_factor = [2, 0]*(n//2+1)
        for x in range(3, n+1, 2):
            if min_prime_factor[x] == 0:
                min_prime_factor[x] = x
                self.plist.append(x)
                if x**2 > n: continue
                for y in range(x**2, n+1, 2*x):
                    if min_prime_factor[y] == 0:
                        min_prime_factor[y] = x
        self.min_prime_factor = min_prime_factor

    def isprime(self, x):
        return self.min_prime_factor[x] == x

    def pf(self, x):
        pp, ee = [], []
        while x > 1:
            mpf = self.min_prime_factor[x]
            if pp and mpf == pp[-1]:
                ee[-1] += 1
            else:
                pp.append(mpf)
                ee.append(1)
            x //= mpf
        return pp, ee

    # unsorted
    def factor(self, a):
        ff = [1]
        pp, ee = self.pf(a)
        for p, e in zip(pp, ee):
            ff, gg = [], ff
            w = p
            for _ in range(e):
                for f in gg: ff.append(f*w)
                w *= p
            ff += gg
        return ff

sv=Sieve(10**6)

class LCA:
    def __init__(self, parent, depth):
        n = len(parent)
        self._depth = depth
        log = max(self._depth).bit_length()
        self._table = [parent]+[[-1]*n for _ in range(log)]
        t0 = self._table[0]
        for lv in range(log):
            t1 = self._table[lv+1]
            for u in range(n):
                if t0[u] == -1: continue
                t1[u] = t0[t0[u]]
            t0 = t1

    def anc(self, u, v):
        diff = self._depth[u]-self._depth[v]
        if diff < 0: u, v = v, u
        diff = abs(diff)
        u = self.up(u, diff)
        if u == v: return u
        for lv in range(self._depth[u].bit_length()-1, -1, -1):
            tl = self._table[lv]
            if tl[u] != tl[v]: u, v = tl[u], tl[v]
        return self._table[0][u]

    def up(self, u, dist):
        lv = 0
        while dist and u != -1:
            if dist & 1: u = self._table[lv][u]
            lv, dist = lv+1, dist >> 1
        return u

n=II()
aa=LI()
to=[[] for _ in range(n)]
for _ in range(n-1):
    u,v=LI1()
    to[u].append(v)
    to[v].append(u)

def dfs(root=0):
    uu = []
    stack = [root]
    while stack:
        u = stack.pop()
        if dfsOrder[u] == -1:
            dfsOrder[u] = len(uu)
            utoi[u] = len(eulerTour)
            eulerTour.append(u)
            uu.append(u)
            if u != root: stack.append(u)
            # !!! to's format
            for v in to[u]:
                if v == parent[u]: continue
                depth[v] = depth[u]+1
                parent[v] = u
                stack.append(v)
        else:
            right[u] = len(uu)
            eulerTour.append(parent[u])
    right[root] = len(uu)

    return uu

eulerTour, utoi = [], [0]*n
right = [-1]*n  # left = dfsOrder
parent, depth, dfsOrder = [-1]*n, [0]*n, [-1]*n
uu=dfs()
lca=LCA(parent,depth)

p2u=defaultdict(list)
pu2e={}
for u in uu:
    pp,ee=sv.pf(aa[u])
    for p,e in zip(pp,ee):
        p2u[p].append(u)
        pu2e[p,u]=e

ans=[1]*n

def auxiliary_tree(vv0,p):
    if len(vv0)==1:
        v=vv0[0]
        ans[v]=ans[v]*pow(p,pu2e[p,v],md)%md
        return 
    st = set(vv0)
    for i in range(len(vv0)-1): st.add(lca.anc(vv0[i], vv0[i+1]))
    vv = sorted(st, key=lambda x: dfsOrder[x])

    stack = [vv[0]]
    par = {}
    for u in vv[1:]:
        while right[stack[-1]] <= dfsOrder[u]: stack.pop()
        par[u] = stack[-1]
        stack.append(u)

    mx=defaultdict(int)
    sm=defaultdict(int)
    for v in vv[::-1]:
        if (p,v) in pu2e:mx[v]=max(mx[v],pu2e[p,v])
        sm[v]+=mx[v]
        ans[v]=ans[v]*pow(p,sm[v],md)%md
        if v in par:
            u=par[v]
            mx[u]=max(mx[u],mx[v])
            sm[u]-=mx[v]

for p in p2u:
    auxiliary_tree(p2u[p],p)

for u in uu[:0:-1]:
    v=parent[u]
    ans[v]=ans[u]*ans[v]%md

print(*ans,sep="\n")
0