标签:
1 #include<cmath> 2 #include<cstdio> 3 #include<algorithm> 4 #include<iostream> 5 #include<string> 6 #include<cstring> 7 #include<vector> 8 using namespace std; 9 #define max 100000 10 int prime[max+5]; 11 //bool vis[max+5]; 12 void get_prime(int n){ 13 //memset(vis,false,sizeof(vis)); 14 prime[0]=2; 15 prime[1]=2; 16 int i=3,index=2; 17 for(;index<=n;i+=2){ 18 //cout<<i<<endl; 19 //cout<<prime[index-1]<<endl; 20 int half=sqrt(i*1.0)+1; 21 int j=1; 22 while(j<index&&half>prime[j]){//不知道为什么j<index可以去掉。去掉也是对的。 23 //cout<<i<<" "<<j<<" "<<prime[j]<<endl; 24 if(i%prime[j]==0){ 25 break; 26 } 27 j++; 28 } 29 if(half<=prime[j]){ 30 prime[index++]=i; 31 } 32 } 33 //cout<<prime[index-1]<<endl; 34 } 35 int main(){ 36 int n; 37 get_prime(max); 38 while(cin>>n&&n){ 39 int i=1; 40 while(prime[i]<n){ 41 i++; 42 } 43 if(prime[i]==n){ 44 cout<<0<<endl; 45 } 46 else{ 47 cout<<prime[i]-prime[i-1]<<endl; 48 } 49 } 50 return 0; 51 }
Time Limit: 5000MS | Memory Limit: 65536K | |
Total Submissions: 8766 | Accepted: 5148 |
Description
The sequence of n − 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, ‹24, 25, 26, 27, 28› between 23 and 29 is a prime gap of length 6.
Your mission is to write a program to calculate, for a given positive integer k, the length of the prime gap that contains k. For convenience, the length is considered 0 in case no prime gap contains k.
Input
The input is a sequence of lines each of which contains a single positive integer. Each positive integer is greater than 1 and less than or equal to the 100000th prime number, which is 1299709. The end of the input is indicated by a line containing a single zero.
Output
The output should be composed of lines each of which contains a single non-negative integer. It is the length of the prime gap that contains the corresponding positive integer in the input if it is a composite number, or 0 otherwise. No other characters should occur in the output.
Sample Input
10 11 27 2 492170 0
Sample Output
4 0 6 0 114
Source
标签:
原文地址:http://www.cnblogs.com/Deribs4/p/4297778.html