#include <bits/stdc++.h>
using namespace std;
vector<vector<int> > g;
int tim = 0;
vector<int> l, r, par;
void dfs(int n, int p)
{
    par[n] = p;
    l[n] = tim++;
    for(auto x : g[n]) if(x != p) dfs(x, n);
    r[n] = tim++;
}
struct val
{
    int l, r, ind, ty;
};
bool comp(val a, val b)
{
    return a.l / 350 < b.l / 350 || (a.l / 350 == b.l / 350 && a.r < b.r);
}
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    vector<int> prim;
    vector<bool> ip(1e6 + 1, 1);
    vector<int> pl(1e6 + 1);
    g.resize(n + 1);
    l.resize(n + 1);
    r.resize(n + 1);
    par.resize(n + 1);
    for(int i = 2; i <= 1e6; i++)
    {
        if(ip[i])
        {
            pl[i] = prim.size();
            prim.push_back(i);
            for(int j = 2 * i; j <= 1e6; j += i)
            {
                ip[j] = 0;
            }
        }
    }
    vector<int> v(n + 1, 1e6 + 1);
    for(int i = 1; i <= n; i++)
    {
        int x;
        cin >> x;
        if(ip[x]) v[i] = pl[x];
    }
    for(int i = 0; i < n - 1; i++)
    {
        int x, y;
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    dfs(1, 0);
    vector<int> path(2 * n);
    for(int i = 1; i <= n; i++)
    {
        path[l[i]] = i;
        path[r[i]] = i;
    }
    int q;
    cin >> q;
    vector<val> que(q + 1);
    que[0] = {0, -1, 0};
    vector<int> ans(q);
    for(int i = 1; i <= q; i++)
    {
        int x, y;
        cin >> x >> y;
        if(l[x] < l[y] && r[x] < r[y])
        {
            que[i].l = r[x];
            que[i].r = l[y];
            que[i].ty = 1;
        }
        else if(l[x] > l[y] && r[x] > r[y])
        {
            que[i].l = r[y];
            que[i].r = l[x];
            que[i].ty = 1;
        }
        else
        {
            que[i].l = l[x];
            que[i].r = l[y];
            if(que[i].l > que[i].r) swap(que[i].l, que[i].r);
            que[i].ty = 0;
        }
        que[i].ind = i - 1;
    }
    sort(que.begin(), que.end(), comp);
    const int b = 350;
    vector<int> sq(b);
    vector<int> db(n + 1);
    vector<bool> act(n + 1);
    for(int i = 1; i <= q; i++)
    {
        for(int j = que[i - 1].l - 1; j >= que[i].l; j--)
        {
            int y = path[j];
            int x = v[y];
            if(x > n) continue;
            if(!act[y])
            {
                act[y] = 1;
                db[x]++;
                if(db[x] == 1) sq[x / b]++;
            }
            else
            {
                act[y] = 0;
                db[x]--;
                if(db[x] == 0) sq[x / b]--;
            }
        }
        for(int j = que[i - 1].r + 1; j <= que[i].r; j++)
        {
            int y = path[j];
            int x = v[y];
            if(x > n) continue;
            if(!act[y])
            {
                act[y] = 1;
                db[x]++;
                if(db[x] == 1) sq[x / b]++;
            }
            else
            {
                act[y] = 0;
                db[x]--;
                if(db[x] == 0) sq[x / b]--;
            }
        }
        for(int j = que[i - 1].l; j <= que[i].l - 1; j++)
        {
            int y = path[j];
            int x = v[y];
            if(x > n) continue;
            if(!act[y])
            {
                act[y] = 1;
                db[x]++;
                if(db[x] == 1) sq[x / b]++;
            }
            else
            {
                act[y] = 0;
                db[x]--;
                if(db[x] == 0) sq[x / b]--;
            }
        }
        for(int j = que[i - 1].r; j >= que[i].r + 1; j--)
        {
            int y = path[j];
            int x = v[y];
            if(x > n) continue;
            if(!act[y])
            {
                act[y] = 1;
                db[x]++;
                if(db[x] == 1) sq[x / b]++;
            }
            else
            {
                act[y] = 0;
                db[x]--;
                if(db[x] == 0) sq[x / b]--;
            }
        }
        if(que[i].ty == 1)
        {
            int x = v[par[path[que[i].l]]];
            if(x <= n)
            {
                db[x]++;
                if(db[x] == 1) sq[x / b]++;
            }
        }
        for(int j = 0; j < b; j++)
        {
            if(sq[j] < b)
            {
                for(int k = 0; k < b; k++)
                {
                    if(db[j * b + k] == 0)
                    {
                        ans[que[i].ind] = j * b + k;
                        break;
                    }
                }
                break;
            }
        }
        if(que[i].ty == 1)
        {
            int x = v[par[path[que[i].l]]];
            if(x <= n)
            {
                db[x]--;
                if(db[x] == 0) sq[x / b]--;
            }
        }
    }
    for(auto x : ans) cout << prim[x] << "\n";
}