POJ 3518 简单素数打表
2014-05-25 00:11
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Prime Gap
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
Sample Output
Time Limit: 5000MS | Memory Limit: 65536K | |
Total Submissions: 8091 | Accepted: 4748 |
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 题意:给你一个数N,输出这个数相邻的素数的差。。。 当然,自己是素数就直接输出零了。。 水题,直接打表找。。这题是13的小孩在做周赛时无聊的时候随手写的。。大概15分钟写完了,血淋淋的T了3次= = 后面脑残的发现预处理位置放错了,导致每次输入N的时候 都预处理了,不T才怪o(╯□╰)o。。。 #include<cstdio> #include<cstring> #include<cmath> #include<iostream> #include<algorithm> using namespace std; long long is_prime[1500005]; long long prime[1500005]; long long n; int k; void dabiao() { memset(is_prime,0,sizeof(is_prime)); is_prime[0]=is_prime[1]=1; for(long long i=2;i<=1299709;i++) { if(is_prime[i]==1) { continue; } for(long long j=2*i;j<=1299709;j+=i) { is_prime[j]=1; } } k=0; for(int i=2;i<=1299709;i++) { if(is_prime[i]==0) { prime[k++]=i; } } } int main() { dabiao(); while(scanf("%I64d",&n)!=EOF) { if(n==0) break; if(is_prime ==0) { printf("0\n"); continue; } else { for(int i=0;i<=k;i++) { if(prime[i]<n&&prime[i+1]>n) { printf("%I64d\n",prime[i+1]-prime[i]); break; } } } } return 0; }
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