


Detailed explanation of C++ function recursion: recursive implementation of factorial and Fibonacci sequences
Recursion is a programming technique for function self-calling, which is divided into baseline conditions and recursive calls. Using recursion you can implement factorial, which is a positive integer multiplied by the product of all its smaller positive integers, and Fibonacci sequence, which is a sequence in which each number is the sum of the previous two numbers.
Detailed explanation of C function recursion: Recursive implementation of factorial and Fibonacci sequences
Introduction
Recursion is a programming technique that allows a function to call itself to solve a problem. Recursive functions are usually divided into two parts: baseline conditions and recursive calls.
Recursive implementation of factorial
Factorial is the product of a positive integer multiplied by all its smaller positive integers. For example, the factorial of 5 is equal to 5 x 4 x 3 x 2 x 1 = 120.
int阶乘(int n) { if (n == 0) { // 基线条件 return 1; } else { return n * 阶乘(n - 1); // 递归调用 } }
Practical case: Calculate the factorial of 10
int result = 阶乘(10); cout << "10 的阶乘为 " << result << endl;
Output:
10 的阶乘为 3628800
Recursive implementation of Fibonacci sequence
The Fibonacci sequence is a sequence of numbers in which each number is the sum of the previous two numbers. The sequence starts with 0 and 1.
int斐波那契(int n) { if (n == 0) { // 基线条件 return 0; } else if (n == 1) { return 1; } else { return 斐波那契(n - 1) + 斐波那契(n - 2); // 递归调用 } }
Practical case: Print the first 10 numbers of the Fibonacci sequence
for (int i = 0; i < 10; i++) { cout << 斐波那契(i) << " "; }
Output:
0 1 1 2 3 5 8 13 21 34
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