有人提出了遞歸算法的時間複雜度問題,的確如此,遞歸的時間複雜度是隨着數量級成指數增加的。java
如今補充一個時間複雜度線性增加的方法。多謝朋友的指正。算法
import java.util.Scanner; /** * Created by Administrator on 2018-02-15. */ public class Fibonacci { public static long FibonacciQty(int n) { long t1,t2; if(n == 1 || n == 2) { return 1; }else { t1 = FibonacciQty(n-1); t2 = FibonacciQty(n-2); return t1+t2; } } public static long FibonacciQty2(int n) { long t1 = 1; long t2 = 1; if(n == 1 || n == 2) { return 1; }else { for (int i = 2;i < n - 1;i++) { t2 = t1 + t2; t1 = t2 - t1; } return t1+t2; } } public static void main(String[] args) { System.out.println("遞推算法求解兔子產仔問題!"); System.out.print("請先輸入時間:"); Scanner input = new Scanner(System.in); int n = input.nextInt(); long num = Fibonacci.FibonacciQty2(n); System.out.println("通過"+n+"月的時間,共能繁殖成"+num+"對兔子!"); } }