Inversion
Time Limit: 4000/2000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 0 Accepted Submission(s): 0
Problem Description
Give an array A, the index starts from 1.
Now we want to know B
i
=max
i∤j
A
j![]()
, i≥2
.
Now we want to know B
Input
The first line of the input gives the number of test cases T; T test cases follow.
Each case begins with one line with one integer n : the size of array A.
Next one line contains n integers, separated by space, ith number is A
i![]()
.
Limits
T≤20![]()
2≤n≤100000![]()
1≤Ai≤1000000000![]()
∑n≤700000![]()
Each case begins with one line with one integer n : the size of array A.
Next one line contains n integers, separated by space, ith number is A
Limits
T≤20
2≤n≤100000
1≤Ai≤1000000000
∑n≤700000
Output
For each test case output one line contains n-1 integers, separated by space, ith number isB
i+1![]()
.
Sample Input
2 4 1 2 3 4 4 1 4 2 3
Sample Output
3 4 3 2 4 4
思路:
将输入数据排序,然后将2到n放入队列,然后不整除的赋值为最大,会被整除的放入另一个队列,搜索完不整除的队列后,把能整除的放入不整除的队列中。
#include<cstdio>
#include<iostream>
#include<queue>
#include<string.h>
#include<algorithm>
using namespace std;
struct node{
int id;
int num;
}a[100010];
bool cmp(node x,node y)
{
return x.num>y.num;
}
int b[100010];
int main()
{
queue<int> q1,q2;
int n;
int t;
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
for(int i=0;i<n;i++)
{
a[i].id=i+1;
scanf("%d",&a[i].num);
}
// for(int i=0;i<n;i++)
// cout<<a[i].num<<" ";
// cout<<endl;
sort(a,a+n,cmp);
for(int i=1;i<=n;i++)
{
q1.push(i);
}
int k=1,j=0;
while(j<n&&!q1.empty())
{
while(!q1.empty())
{
int id=q1.front();
if(a[j].id%id==0)
{
q2.push(id);
}
else
{
b[id]=a[j].num;
}
q1.pop();
}
while(!q2.empty())
{
q1.push(q2.front());
q2.pop();
}
j++;
}
for(int i=2;i<=n;i++)
{
printf("%d",b[i]);
if(i!=n)
printf(" ");
}
cout<<endl;
}
}