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(); // Test(); } static void Test() { var dp = Enumerable.Repeat(true, 1_000_001).ToArray(); for (var i = 2; i < dp.Length; ++i) { if (!dp[i]) continue; for (var j = i * 2; j < dp.Length; j += i) dp[j] = false; } var plist = new List(); for (var i = 2; i < dp.Length; ++i) if (dp[i]) plist.Add(i); var r = new Random(); var n = 500000; var a = new int[n]; for (var i = 0; i < n; ++i) a[i] = r.Next(1_000_000) + 1; // for (var i = 0; i < n; ++i) a[i] = 510510; // for (var i = 0; i < n; ++i) a[i] = plist[r.Next(plist.Count)]; for (var i = 0; i < n; ++i) { while (true) { var m = r.Next(10); if (a[i] * plist[m] > 1_000_000) break; a[i] *= plist[m]; } } var map = new int[n - 1][]; for (var i = 0; i < map.Length; ++i) map[i] = new int[] { r.Next(i + 1), i + 1 }; // for (var i = 0; i < map.Length; ++i) map[i] = new int[] { i / 2, i + 1 }; // for (var i = 0; i < map.Length; ++i) map[i] = new int[] { i, i + 1 }; // for (var i = 0; i < map.Length; ++i) map[i] = new int[] { 0, i + 1 }; var start = DateTime.Now; var ans = LCM(n, a, map); WriteLine(string.Join(" ", ans.Take(10))); WriteLine((DateTime.Now - start).TotalSeconds); } static void Solve() { var n = NN; var a = NList; var map = NMap(n - 1); var ans = LCMDFS(n, a, map); WriteLine(string.Join("\n", ans)); } static long[] LCMDFS(int n, int[] a, int[][] map) { 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); return ans; } static long[] LCM(int n, int[] a, int[][] map) { 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 dep = Enumerable.Repeat(-1, n).ToArray(); dep[0] = 0; var q = new Queue(); q.Enqueue(0); var plist = new int[n]; plist[0] = -1; while (q.Count > 0) { var cur = q.Dequeue(); foreach (var next in tree[cur]) { if (dep[next] >= 0) continue; dep[next] = dep[cur] + 1; plist[next] = cur; q.Enqueue(next); } } var sorted = new List<(int id, int dep, int prev)>(n); for (var i = 1; i < n; ++i) sorted.Add((i, dep[i], plist[i])); sorted.Sort((l, r) => r.dep.CompareTo(l.dep)); var minlist = GetMinPDivList(1_000_000); var dlist = new Dictionary[n]; var ans = new long[n]; for (var i = 0; i < n; ++i) { dlist[i] = PDiv(a[i], minlist); ans[i] = a[i]; } foreach (var si in sorted) { var prev = si.prev; if (dep[prev] < si.dep) { if (dlist[prev].Count > dlist[si.id].Count) { foreach (var kv in dlist[si.id]) { if (dlist[prev].ContainsKey(kv.Key)) { var dpk = dlist[prev][kv.Key]; if (dpk < kv.Value) { ans[prev] = ans[prev] * Exp(kv.Key, kv.Value - dpk) % mod; dlist[prev][kv.Key] = kv.Value; } } else { ans[prev] = ans[prev] * Exp(kv.Key, kv.Value) % mod; dlist[prev][kv.Key] = kv.Value; } } } else { var lcm = ans[si.id]; var d = dlist[si.id]; foreach (var kv in dlist[prev]) { if (d.ContainsKey(kv.Key)) { var dk = d[kv.Key]; if (dk < kv.Value) { lcm = lcm * Exp(kv.Key, kv.Value - dk) % mod; d[kv.Key] = kv.Value; } } else { lcm = lcm * Exp(kv.Key, kv.Value) % mod; d[kv.Key] = kv.Value; } } ans[prev] = lcm; dlist[prev] = d; } } } return 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]; var dlist = new List<(int id, Dictionary)>(); dlist.Add((cur, dic)); foreach (var next in tree[cur]) { if (next != prev) dlist.Add((next, DFS(next, cur, a, tree, minlist, ans))); } dlist.Sort((l, r) => r.Item2.Count.CompareTo(l.Item2.Count)); var bdic = dlist[0].Item2; var bans = ans[dlist[0].id]; for (var i = 1; i < dlist.Count; ++i) { foreach (var kv in dlist[i].Item2) { if (bdic.ContainsKey(kv.Key)) { if (bdic[kv.Key] < kv.Value) { bans = bans * Exp(kv.Key, kv.Value - bdic[kv.Key]) % mod; bdic[kv.Key] = kv.Value; } } else { bans = bans * Exp(kv.Key, kv.Value) % mod; bdic[kv.Key] = kv.Value; } } } ans[cur] = bans; return bdic; } 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 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) { if (p == 1) return _n; if (p == 2) return _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; } }