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求斐波拉契数
斐波拉契数为,Fib(N) = Fib(N-1)+Fib(N-2) F(0)=F(1)=1 用Java编写能求Fib(N)的程序 输入为N,须输出Fib(N)
如输入
3
输出:
3
Java:
/**
* @Date : 2018-04-06 13:52:54
* @Author : 酸饺子 ([email protected])
* @Link : https://github.com/SourDumplings
* @Version : $Id$
*
* 求斐波那契数
*/
import java.util.*;
import java.io.*;
public class Main
{
public static void main(String[] args)
{
Scanner cin = new Scanner(System.in);
int N = cin.nextInt();
System.out.println(fib(N));
}
public static long fib(int N)
{
if (N == 0 || N == 1)
{
return 1;
}
else
{
long[] res = new long[N+1];
res[0] = res[1] = 1;
for (int i = 2; i != N + 1; ++i)
{
res[i] = res[i-1] + res[i-2];
}
return res[N];
}
}
}