Life is a game,and you lose it,so you suicide.
But you can not kill yourself before you solve this problem:
Given you a sequence of number a 1, a 2, ..., a n.They are also a permutation of 1...n.
You need to answer some queries,each with the following format:
If we chose two number a,b (shouldn't be the same) from interval [l, r],what is the maximum gcd(a, b)? If there's no way to choose two distinct number(l=r) then the answer is zero.Input
First line contains a number T(T <= 5),denote the number of test cases.
Then follow T test cases.
For each test cases,the first line contains a number n(1 <= n <= 50000).
The second line contains n number a 1, a 2, ..., a n.
The third line contains a number Q(1 <= Q <= 50000) denoting the number of queries.
Then Q lines follows,each lines contains two integer l, r(1 <= l <= r <= n),denote a query.Output
For each test cases,for each query print the answer in one line.
Sample Input
1 10 8 2 4 9 5 7 10 6 1 3 5 2 10 2 4 6 9 1 4 7 10
Sample Output
5 2 2 4 3
/* @Author: Top_Spirit @Language: C++ */ #include <bits/stdc++.h> using namespace std ; typedef long long ll ; const int Maxn = 5e4 + 10 ; const double eps = 1e-6 ; #define lson l, mid, ri << 1 #define rson mid + 1, r, ri << 1 | 1 struct message{ int l, r ; int id ; }me[Maxn << 1]; struct interval{ int l, r ; int Max ; }in[Maxn << 2]; int n, m, a[Maxn] ; vector < int > ve[Maxn] ; int path[Maxn], ans[Maxn] ; void init(){ for (int i = 1; i <= Maxn; i++){ for (int j = i; j <= Maxn; j += i){ ve[j].push_back(i) ; } } } void build (int l, int r, int ri){ in[ri].l = l ; in[ri].r = r ; in[ri].Max = 0 ; if (l == r) return ; int mid = (l + r) >> 1 ; build(lson) ; build(rson) ; } void Update(int pos, int val, int ri){ in[ri].Max = max(val, in[ri].Max) ; if (in[ri].l == in[ri].r) return ; int mid = (in[ri].l + in[ri].r) >> 1 ; if (mid >= pos) Update(pos, val, ri << 1) ; else Update(pos, val, ri << 1 | 1) ; } int query(int l, int r, int ri){ if (in[ri].l == l && in[ri].r == r) return in[ri].Max ; int mid = (in[ri].l + in[ri].r) >> 1 ; if (mid >= r) query(l, r, ri << 1) ; else if (mid + 1 <= l) query(l, r, ri << 1 | 1) ; else return max(query(lson), query(rson)) ; } int main (){ int T ; init() ; cin >> T ; while (T--){ cin >> n ; for (int i = 1; i <= n; i++) cin >> a[i] ; cin >> m; for (int i = 1; i <= m; i++){ cin >> me[i].l >> me[i].r ; me[i].id = i ; } sort(me + 1, me + m + 1, [](message a, message b){ return a.r < b.r ;}) ; memset(path, -1, sizeof(path)) ; build (1, n, 1) ; for (int i = 1, j = 1; j <= m && i <= n; i++){ for (int k = 0; k < ve[a[i]].size(); k++){ int tmp = ve[a[i]][k] ; if (path[tmp] != -1){ Update(path[tmp], tmp, 1) ; } path[tmp] = i ; } while (j <= m && me[j].r == i) { ans[me[j].id] = query(me[j].l, me[j].r, 1) ; j++ ; } } for (int i = 1; i <= m; i++){ cout << ans[i] << endl ; } } return 0 ; }