UVA - 1644 Prime Gap
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 gapof 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
为了完成规定的题数,我只能先找找水题做做了。。。
#include <bits/stdc++.h> using namespace std; const int maxn = 1400000; bool isp[maxn]; int res[maxn]; void init() { isp[0] = isp[1] = false; for(int i = 2; i < maxn; i++) isp[i] = true; int Max = sqrt(maxn) + 1; for(int i = 2; i < Max; i++) if(isp[i]) for(int j = 2; i*j < maxn; j++) isp[i*j] = false; int l, r; for(int i = 2; i < maxn; i++){ if(isp[i]) l = i, res[i] = 0; else res[i] = l; } for(int i = 1299709; i >= 2; --i){ if(isp[i]) r = i; else res[i] = r - res[i]; } } int main() { init(); int n; while(cin >> n, n!=0) cout << res[n] << endl; return 0; }