给定斐波那契数N ,任务是找到下一个斐波那契数。
例子:
Input: N = 5
Output: 8
8 is the next fibonacci number after 5
Input: N = 3
Output: 5
方法:斐波那契数列中两个相邻数字的比值迅速接近((1 + sqrt(5))/ 2) 。因此,如果将N乘以(((1 + sqrt(5))/ 2)并将其四舍五入,则结果数将是下一个斐波那契数。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include
using namespace std;
// Function to return the next
// fibonacci number
int nextFibonacci(int n)
{
double a = n * (1 + sqrt(5)) / 2.0;
return round(a);
}
// Driver code
int main()
{
int n = 5;
cout << nextFibonacci(n);
}
// This code is contributed by mohit kumar 29
Java
// Java implementation of the approach
class GFG
{
// Function to return the next
// fibonacci number
static long nextFibonacci(int n)
{
double a = n * (1 + Math.sqrt(5)) / 2.0;
return Math.round(a);
}
// Driver code
public static void main (String[] args)
{
int n = 5;
System.out.println(nextFibonacci(n));
}
}
// This code is contributed by AnkitRai01
Python3
# Python3 implementation of the approach
from math import *
# Function to return the next
# fibonacci number
def nextFibonacci(n):
a = n*(1 + sqrt(5))/2.0
return round(a)
# Driver code
n = 5
print(nextFibonacci(n))
C#
// C# implementation of the approach
using System;
class GFG
{
// Function to return the next
// fibonacci number
static long nextFibonacci(int n)
{
double a = n * (1 + Math.Sqrt(5)) / 2.0;
return (long)Math.Round(a);
}
// Driver code
public static void Main(String[] args)
{
int n = 5;
Console.WriteLine(nextFibonacci(n));
}
}
// This code is contributed by 29AjayKumar
Javascript
输出:
8