求1,1,2,3,5,8,13 斐波那契数列第N个数的值

时间:2023-03-10 02:23:21
求1,1,2,3,5,8,13 斐波那契数列第N个数的值

朋友问了个斐波那契算法。我给出了个递归算法

public static int Foo(int n)
{
if (n <= )
{
return n;
}
else
{
return Foo(n - ) + Foo(n - );
}
}

结果被打击了,说递归效率不行啊,于是网上饿补了下,发现很多方法,总结了两个

1. 递推工式 num[i + 2] = num[i + 1] + num[i];

        public static int GetNum1(int n)
{
int result = ;
if (n <= )
{
result = n;
}
else
{
int[] num = new int[n];
num[] = ;
num[] = ; System.Console.Write(num[] + " " + num[] + " ");
for (int i = ; i <n-; i++)
{
num[i + ] = num[i + ] + num[i];
result = num[i + ];
System.Console.Write(result + " ");
}
} return result;
}

2. 更简单的算法,这个很高级哦

y就是当前第n个值
x就是当前第n-1个的值
        public static void GetNum2(int n)
{
if (n <= )
{
Console.WriteLine(n);
}
else
{
int x = , y = ;
for (int i = ; i <= n; i++, y = x + y, x = y - x)
{
Console.WriteLine(y + " ");
}
}
}