(n,),a,*e=[[*map(int,s.split())]for s in open(0)] M=998244353 def pf(n): a,f={},2 while f*f<=n: if n%f:f+=1 else:a[f]=a.get(f,0)+1;n//=f if n>1:a[n]=a.get(n,0)+1 return a g=[[]for _ in range(n)] for u,v in e: g[u-1]+=v-1, g[v-1]+=u-1, q=[(0,-1,0)] l=[pf(i)for i in a] while q: p,z,s=q.pop() if s: for k,v in l[p].items(): if k in l[z]: l[z][k]=max(l[z][k],v) else: l[z][k]=v continue for v in g[p]: if v!=z: q+=(v,p,1),(v,p,0), for i in range(n): ans=1 for k,v in l[i].items(): ans*=pow(k,v,M) ans%=M print(ans)