Codeforces 475 D. CGCDSSQ

暴力+维护某个数到前面一个能产生不同GCD的数的位置.......

D. CGCDSSQ

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.

 is a greatest common divisor of v1, v2, ..., vn, that is equal to a largest positive integer that divides all vi.

Input

The first line of the input contains integer n, (1 ≤ n ≤ 105), denoting the length of the sequence. The next line contains n space separated integers a1, ..., an, (1 ≤ ai ≤ 109).

The third line of the input contains integer q, (1 ≤ q ≤ 3 × 105), denoting the number of queries. Then follows q lines, each contain an integer xi, (1 ≤ xi ≤ 109).

Output

For each query print the result in a separate line.

Sample test(s)

input

3
2 6 3
5
1
2
3
4
6

output

1
2
2
0
1

input

7
10 20 3 15 1000 60 16
10
1
2
3
4
5
6
10
20
60
1000

output

14
0
2
2
2
0
2
2
1
1

#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <map>

using namespace std;

typedef long long int LL;

const int maxn=100100;

map<int,LL> ans;
int a[maxn],n,m;
int pre[maxn];

int main()
{
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
        scanf("%d",a+i);
    for(int i=1;i<=n;i++)
    {
        pre[i]=i-1;
        int x=a[i],xi=i;
        for(int j=i;j;j=pre[j])
        {
            a[j]=__gcd(a[j],x);
            ans[a[j]]+=j-pre[j];
            if(a[j]<x)
            {
                pre[xi]=j;
                xi=j; x=a[j];
            }
        }
        pre[xi]=0;
    }
    scanf("%d",&m);
    while(m--)
    {
        int x;
        scanf("%d",&x);
        printf("%I64d
",ans[x]);
    }
    return 0;
}