斐波那契数列是一个序列,其中下一项是前两项之和。斐波那契数列的前两项是 0 后跟 1、
The Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21
示例 1: 最多 n 个项的斐波那契数列
#include <iostream> using namespace std; int main() { int n, t1 = 0, t2 = 1, nextTerm = 0; cout << "Enter the number of terms: "; cin >> n; cout << "Fibonacci Series: "; for (int i = 1; i <= n; ++i) { // Prints the first two terms. if(i == 1) { cout << t1 << ", "; continue; } if(i == 2) { cout << t2 << ", "; continue; } nextTerm = t1 + t2; t1 = t2; t2 = nextTerm; cout << nextTerm << ", "; } return 0; }
输出
Enter the number of terms: 10 Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,
示例 2: 生成特定数字的斐波那契数列的程序
#include <iostream> using namespace std; int main() { int t1 = 0, t2 = 1, nextTerm = 0, n; cout << "Enter a positive number: "; cin >> n; // displays the first two terms which is always 0 and 1 cout << "Fibonacci Series: " << t1 << ", " << t2 << ", "; nextTerm = t1 + t2; while(nextTerm <= n) { cout << nextTerm << ", "; t1 = t2; t2 = nextTerm; nextTerm = t1 + t2; } return 0; }
输出
Enter a positive integer: 100 Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,