HIMEMIX-100 1. 分析factorial函数的运行结果 fact**factorial:** - factorial是一个用于计算阶乘的函数，它接受一个整数n，并返回n的阶乘。 - factorial函数的实现通常使用递归调用的方法，即函数会不断调用自身，直到找到一个终止条件。 - factorial函数的终止条件通常是当n等于1或0时，返回1。 ### 1.1 函数逻辑 factorial函数通常使用递归的方式实现，其逻辑如下： 1. **Base Case**: - if n == 1 or n == 0: return 1 2. **Recursive Case**: - return n * factorial(n-1) ### 1.2 解释递归调用 **factorial(4):** 1. factorial(4) = 4 * factorial(3) 2. factorial(3) = 3 * factorial(2) 3. factorial(2) = 2 * factorial(1) 4. factorial(1) = 1 * factorial(0) 5. factorial(0) = 1 6. factorial(1) = 1 * 1 = 1 7. factorial(2) = 2 * 1 = 2 8. factorial(3) = 3 * 2 = 6 9. factorial(4) = 4 * 6 = 24 **fact factorial(4) = 24** ### 1.3 分析运行原理 1. factorial函数会一直调用自身，直到n等于0或1。 2. 每次递归调用都会将n减少1，直到n等于0或1。 ### 1.4 总结 factorial函数通过递归的方式计算阶乘，其返回结果是n的阶乘。 **2. factorial(4) = 24** ```C #include<stdio.h> int factorial(int n){ if(n == 1 || n == 0){ return 1; } return n * factorial(n-1); } ```

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