C++ 语言中的 N 到交替质数?
我们将在本文中了解如何在 N 之前打印出所有交替质数。交替质数如下。假设 N = 15。那么 N 之前的质数是 {2, 3, 5, 7, 11, 13}。交替质数是 {2, 5, 11}。我们来了解一下如何解决这个问题。
算法
printAlternatePrime(N)
Begin define one Boolean array prime of size N + 1, and fill with 1. for p := 2, p^2 is less than N, increase p by 1, do if prime[p] is true, then for all multiples of p, make the position 0 in prime array end if done set the flag for p := 2 to n, do if prime[p] is true, then if flag is set, then print p, and reset the flag else set the flag end if end if done End
示例
#include<iostream>
using namespace std;
void printAlternatePrime(int n) {
bool prime[n + 1];
for(int i = 0; i<=n; i++) {
prime[i] = true;
}
for (int p = 2; p * p <= n; p++) {
if (prime[p]) {
for (int i = p * 2; i <= n; i += p) //all multiples will be false
prime[i] = false;
}
}
bool prime_flag = true;
for (int p = 2; p <= n; p++) {
if (prime[p]) {
if (prime_flag) {
cout << p << " ";
prime_flag = false;
} else {
prime_flag = true; //set to print next prime
}
}
}
}
main() {
int n;
cout << "Enter upper limit: ";
cin >> n;
cout << "Alternate prime numbers are: ";
printAlternatePrime(n);
}输出
Enter upper limit: 20 Alternate prime numbers are: 2 5 11 17
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