How to use Fibonacci sequence algorithm in C++
How to use the Fibonacci sequence algorithm in C
The Fibonacci sequence is a very classic sequence, and its definition is that each number is The sum of the first two numbers. In computer science, using the C programming language to implement the Fibonacci sequence algorithm is a basic and important skill. This article will introduce how to use C to write the Fibonacci sequence algorithm and provide specific code examples.
1. Recursive method
Recursion is a common method of Fibonacci sequence algorithm. In C, the Fibonacci sequence algorithm can be implemented concisely using recursion. The following is an example code for calculating Fibonacci numbers using the recursive method:
#include <iostream> using namespace std; int fibonacci(int n) { if (n <= 1) return n; else return fibonacci(n - 1) + fibonacci(n - 2); } int main() { int num; cout << "请输入你要计算的斐波那契数列的项数:"; cin >> num; cout << "斐波那契数列的第" << num << "项为:" << fibonacci(num) << endl; return 0; }
In the above code, we define a function fibonacci
to calculate the ##th Fibonacci number sequence #n items. If
n<=1, return
n directly; otherwise, use the recursive formula
fibonacci(n) = fibonacci(n-1) fibonacci(n-2) to calculate the result.
#include <iostream> using namespace std; int fibonacci(int n) { if (n <= 1) return n; int a = 0; int b = 1; int temp; for (int i = 2; i <= n; i++) { temp = a + b; a = b; b = temp; } return b; } int main() { int num; cout << "请输入你要计算的斐波那契数列的项数:"; cin >> num; cout << "斐波那契数列的第" << num << "项为:" << fibonacci(num) << endl; return 0; }
a,
b and
temp,
a and
b respectively store two adjacent numbers, and
temp is used to temporarily save calculation results. During the loop, we continuously update the values of
a and
b until
i loops to the target number of items
n.
#include <iostream> #include <chrono> using namespace std; using namespace std::chrono; int fibonacci_recursive(int n) { if (n <= 1) return n; else return fibonacci_recursive(n - 1) + fibonacci_recursive(n - 2); } int fibonacci_iterative(int n) { if (n <= 1) return n; int a = 0; int b = 1; int temp; for (int i = 2; i <= n; i++) { temp = a + b; a = b; b = temp; } return b; } int main() { int num; cout << "请输入你要计算的斐波那契数列的项数:"; cin >> num; high_resolution_clock::time_point t1 = high_resolution_clock::now(); int result_recursive = fibonacci_recursive(num); high_resolution_clock::time_point t2 = high_resolution_clock::now(); auto duration_recursive = duration_cast<microseconds>(t2 - t1).count(); high_resolution_clock::time_point t3 = high_resolution_clock::now(); int result_iterative = fibonacci_iterative(num); high_resolution_clock::time_point t4 = high_resolution_clock::now(); auto duration_iterative = duration_cast<microseconds>(t4 - t3).count(); cout << "递归方法计算结果:" << result_recursive << endl; cout << "递归方法计算时间:" << duration_recursive << "微秒" << endl; cout << "迭代方法计算结果:" << result_iterative << endl; cout << "迭代方法计算时间:" << duration_iterative << "微秒" << endl; return 0; }
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