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Home Java JavaBase Three ways to implement Fibonacci sequence in java

Three ways to implement Fibonacci sequence in java

Dec 06, 2019 pm 12:00 PM
java Fibonacci Sequence method

Three ways to implement Fibonacci sequence in java

Definition of Fibonacci sequence: Fibonacci sequence refers to a sequence of 1, 1, 2, 3, 5, 8, 13, 21 , 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368..., this sequence starts from the 3rd item, every Each term is equal to the sum of the previous two terms.

The Fibonacci Sequence, also known as the Golden Section Sequence, was introduced by mathematician Leonardoda Fibonacci using the example of rabbit reproduction, so it is also called the "Rabbit Sequence". Mathematically, the Fibonacci sequence is recursively defined as follows: F(0)=0, F(1)=1, F(n)=F(n-1) F(n-2) ( n>=2, n∈N*).

Free online video tutorial sharing: java online video

Now, we use Java to print the first 10 numbers of the Fibonacci sequence:

The first way: direct assignment method

public class PrintFib {
 
	public static void main(String[] args) {
		
		//定義第一個加數(shù)a,初始值為1;定義第二個加數(shù)b,初始值為1;定義兩個加數(shù)之和為c,初始值為0
		int a = 1;
		int b = 1;
		int c = 0;
		//首先在控制臺打印出數(shù)列中第一個數(shù)和第二個數(shù)的值
		System.out.print(a + "\t" + b + "\t");
		//建立一個for循環(huán),用于循環(huán)輸出數(shù)列中第三位至第十位的數(shù)字
		for (int i = 3; i <= 10; i++) {
			//第三個數(shù)即為c,a+b等于c的值
			c = a + b;
			//將第一個加數(shù)a賦值為數(shù)列中的第二個數(shù)b的值
			a = b;
			//將第二個加數(shù)b賦值為數(shù)列中的第三個數(shù)c的值
			b = c;
			//在第二次循環(huán)打印時,將打印數(shù)列中的第四個數(shù)為:b + c = b + (a + b) 
			System.out.print(c + "\t");
		}
	}
}

This method can also be simplified to:

public class PrintFib {
	
	public static void main(String[] args) {
		
		int a = 1;
		int b = 1;	
		for(int i = 1;i <= 5;i++) {	
			//循環(huán)打印a,b兩個數(shù),即兩個兩個打印
			System.out.print(a + "\t" + b + "\t");
			//打印第三、四個數(shù)
			a = a + b;
			b = a + b;		
		}
	}
}

The second way: create and print the array

public class PrintFib {
	
	public static void main(String[] args) {
		
		//建立一個長度為10的數(shù)組用于存放數(shù)列中的數(shù)
		int[] arr = new int[10];
		//先定義數(shù)列中的第一個和第二個數(shù)
		arr[0] = 1;
		arr[1] = 1;
		//建立一個for循環(huán),打印數(shù)組中的元素
		for(int i = 0;i < arr.length;i++) {
			//判斷:當(dāng)打印第三個數(shù)前,給第三個數(shù)賦值
			if(i > 1) {
				arr[i] = arr[i - 2] + arr[i - 1];
			}
			System.out.print(arr[i] + "\t");
		}
		
	}
}

The third way: calling the function

public class PrintFib {
	
	//建立一個函數(shù),用于計算數(shù)列中的每一項
	public static int fib(int num) {
		//判斷:是否是第一個數(shù)和第二個數(shù)
		if(num == 1 || num == 2) {
			return 1;
		}else {
			//循環(huán)調(diào)用本函數(shù)
			return fib(num - 2) + fib(num - 1);
		}
	}
	
	//主函數(shù)(程序入口)
	public static void main(String[] args) {
		
		//建立一個for循環(huán),用于打印第一個至第十個數(shù)字
		for(int i = 1;i <= 10;i++) {
			//調(diào)用函數(shù)進行打印
			System.out.print(fib(i) + "\t");
		}	
	}
	
}

For more related articles and tutorials, please visit: java introductory learning

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