1.递归算法

1.1.C#递归算法计算阶乘的方法

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 阶乘：一个正整数的阶乘Factorial是所有小于以及等于该数的正整数的积，0的阶乘是1，n的阶乘是n！
        /// </summary>
       public static void Main()
        {
            int result = Factorial(5);
            Console.WriteLine("5的阶乘是："+result);
            Console.ReadLine();
        }

        private static int Factorial(int v)
        {
            if(v == 0 || v == 1)
            {
                return 1;
            }
            else
            {
                return v * Factorial(v-1);
            }
        }
    }
}

1.2.C#递归算法计算数组的和

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 数组求和
        /// </summary>
       public static void Main()
        {
            int[] numbers = { 1,2,3,4,5};
            int sum = ArraySum(numbers,0);
            Console.WriteLine("数组的和是："+sum);
            Console.ReadLine();
        }

        private static int ArraySum(int[] arr, int v)
        {
            if(v>=arr.Length)
            {
                return 0;
            }
            else
            {
                return arr[v] + ArraySum(arr, v + 1);
            }
        }
    }
}

 1.3.C#递归算法实现斐波那契数列第三十位数字

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 实现斐波那契数列的第三十位，已知斐波那契数列1,1,2,3,5,8，自身计算前二个之和
        /// </summary>
       public static void Main()
        {
            int n = 30;
            int result = feibonaqi(30);
            Console.WriteLine("斐波那契数列第三十位是："+result);
            Console.ReadLine();        
        }

        private static int feibonaqi(int v)
        {
            if(v <= 0)
            {
                return 0;
            }
            else if(v > 0 && v <=2)
            {
                return 1;
            }
            else
            {
                return feibonaqi(v - 1) + feibonaqi(v - 2);
            }
        }
    }
}

1.4.C#递归算法计算1-100的和

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 计算1-100-sum
        /// </summary>
       public static void Main()
        {
            int result = SumNumber(100);
            Console.WriteLine("1+2+3+4+...+100="+result);
            Console.ReadLine();        
        }

        private static int SumNumber(int v)
        {
            if(v ==1)
            {
                return 1;
            }
            else
            {
                return v + SumNumber(v-1);
            }
        }
    }
}

2.排序算法

2.1.冒泡排序算法

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 双重循环方式实现冒泡排序
        /// </summary>
       public static void Main()
        {
            int[] arr = { 1,6,4,2,3,9,8,0,7};
            int arrLength = arr.Length;
            for(int i =0; i< arr.Length -1; i++)
            {
                for(int j=0;j<arr.Length-i-1;j++)
                {
                    if(arr[j]>arr[j+1])
                    {
                        int tmp = arr[j];
                        arr[j] = arr[j + 1];
                        arr[j + 1] = tmp;
                    }
                }
            }
            Console.WriteLine("排序后的顺序"+string.Join(",",arr));
            Console.ReadLine();
        }
    }
}

2.2. 使用递归算法实现冒牌排序

using System;

namespace C_Sharp_Example
{
    public class  Program
    {
        /// <summary>
        /// 递归方式实现冒泡排序
        /// </summary>
       public static void RecursiveBubbleSort(int[] arr, int arrLength)
        {
            if (arrLength == 1)
                return;

            for(int i=0; i<arrLength-1;i++)
            {
                if(arr[i] > arr[i+1])
                {
                    int tmp = arr[i];
                    arr[i] = arr[i + 1];
                    arr[i + 1] = tmp;
                }
            }
            RecursiveBubbleSort(arr,arrLength-1);
        }

        private static void RecursiveBubbleSortRun()
        {
            int[] arr = { 1,6,4,2,3,9,8,0,7};
            int arrLength = arr.Length;
            RecursiveBubbleSort(arr,arrLength);
            Console.WriteLine("排序后的结果"+string.Join(",",arr));
            Console.ReadLine();
        }
    }
}

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