hdu 5317 RGCDQ

最新推荐文章于 2025-08-06 16:23:50 发布

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最新推荐文章于 2025-08-06 16:23:50 发布

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文章标签： java

原文链接：http://www.cnblogs.com/yutingliuyl/p/6791539.html

本文介绍了一种称为RGCDQ的问题，即区间最大质因子种类数的查询问题，并提供了一个有效的解决方案。通过预处理和查询优化，实现了快速响应大量查询的需求。

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RGCDQ

Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 309 Accepted Submission(s): 156

Problem Description

Mr. Hdu is interested in Greatest Common Divisor (GCD). He wants to find more and more interesting things about GCD. Today He comes up with Range Greatest Common Divisor Query (RGCDQ). What’s RGCDQ? Please let me explain it to you gradually. For a positive integer x, F(x) indicates the number of kind of prime factor of x. For example F(2)=1. F(10)=2, because 10=2*5. F(12)=2, because 12=2*2*3, there are two kinds of prime factor. For each query, we will get an interval [L, R], Hdu wants to know

maxGCD(F(i),F(j))

(L≤i<j≤R)

Input

There are multiple queries. In the first line of the input file there is an integer T indicates the number of queries.
In the next T lines, each line contains L, R which is mentioned above.

All input items are integers.
1<= T <= 1000000
2<=L < R<=1000000

Output

For each query。output the answer in a single line.
See the sample for more details.

Sample Input

    2 2 3 3 5
   

Sample Output

1 1

Source

2015 Multi-University Training Contest 3

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/*
dp[i][j]记录小于等于i的含有不同质因子的个数

*/

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<set>
#include<map>

#define L(x) (x<<1)
#define R(x) (x<<1|1)
#define MID(x,y) ((x+y)>>1)

#define bug printf("hihi\n")

#define eps 1e-8
typedef __int64 ll;

using namespace std;


#define INF 0x3f3f3f3f
#define N 1000005
#define M 8

int dp[N][M];
int pri[9]={2,3,5,7,11,13,17,19,23};
int a[N];

void inint()
{
    int i,j;
     for(i=2;i<N;i++)
        if(!a[i])
         for(j=1;i*j<N;j++)
            a[i*j]++;

   for(i=1;i<M;i++)
      for(j=1;j<N;j++)
         if(a[j]==i) dp[j][i]=dp[j-1][i]+1;
           else  dp[j][i]=dp[j-1][i];
}

int main()
{
   inint();
   int i,j,t;
   scanf("%d",&t);
   int le,ri;
   int ans;
   while(t--)
   {
       scanf("%d%d",&le,&ri);

       for(i=8;i>=1;i--)
       {
           if(dp[ri][i]-dp[le-1][i]>1)
           {
               ans=i;
               break;
           }
           for(j=i+i;j<8;j+=i)
           {
               if(dp[ri][j])
               {
                   ans=i;
                   i=10;
                   break;
               }
           }
       }
       printf("%d\n",ans);
   }
   return 0;
}

转载于:https://www.cnblogs.com/yutingliuyl/p/6791539.html