using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray(); static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray(); static string[] SList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => ReadLine()).ToArray(); public static void Main() { Solve(); } static void Solve() { var n = NN; var a = NList; var map = NMap(n - 1); var tree = new List[n]; for (var i = 0; i < n; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0]].Add(edge[1]); tree[edge[1]].Add(edge[0]); } var minlist = GetMinPDivList(1_000_000); var ans = new long[n]; DFS(0, -1, a, tree, minlist, ans); WriteLine(string.Join("\n", ans)); } static int mod = 998_244_353; static Dictionary DFS(int cur, int prev, int[] a, List[] tree, int[] minlist, long[] ans) { var dic = PDiv(a[cur], minlist); ans[cur] = a[cur]; foreach (var next in tree[cur]) { if (next == prev) continue; var ndic = DFS(next, cur, a, tree, minlist, ans); if (dic.Count > ndic.Count) { foreach (var kv in ndic) { if (dic.ContainsKey(kv.Key)) { if (dic[kv.Key] < kv.Value) { ans[cur] = ans[cur] * Exp(kv.Key, kv.Value - dic[kv.Key]) % mod; dic[kv.Key] = kv.Value; } } else { ans[cur] = ans[cur] * Exp(kv.Key, kv.Value) % mod; dic[kv.Key] = kv.Value; } } } else { ans[cur] = ans[next]; foreach (var kv in dic) { if (ndic.ContainsKey(kv.Key)) { if (ndic[kv.Key] < kv.Value) { ans[cur] = ans[cur] * Exp(kv.Key, kv.Value - ndic[kv.Key]) % mod; ndic[kv.Key] = kv.Value; } } else { ans[cur] = ans[cur] * Exp(kv.Key, kv.Value) % mod; ndic[kv.Key] = kv.Value; } } dic = ndic; } } return dic; } static void DebugDic(Dictionary dic) { Console.WriteLine("Dic:"); foreach (var kv in dic) Console.WriteLine(" {0} = {1}", kv.Key, kv.Value); } static int[] GetMinPDivList(int max) { var minPDivList = new int[max + 1]; for (var i = 0; i <= max; ++i) minPDivList[i] = i; for (var i = 2; i * i <= max; ++i) if (minPDivList[i] == i) { for (var j = i * i; j <= max; j += i) if (minPDivList[j] == j) { minPDivList[j] = i; } } return minPDivList; } static int GetMinPDiv(int n, int min) { var p = min; while ((long)p * p <= n) { if (n % p == 0) return p; ++p; } return n; } static Dictionary PDiv(int n, int[] minPDivList) { var p = minPDivList[n]; if (n == p) { var dic = new Dictionary(); dic.Add(p, 1); return dic; } else { var dic = PDiv(n / p, minPDivList); if (dic.ContainsKey(p)) ++dic[p]; else dic.Add(p, 1); return dic; } } static long Exp(long n, long p) { long _n = n % mod; var _p = p; var result = 1L; if ((_p & 1) == 1) result *= _n; while (_p > 0) { _n = _n * _n % mod; _p >>= 1; if ((_p & 1) == 1) result = result * _n % mod; } return result; } }