用二维数组输出一个10行的杨辉三角:
1
11
121
1331
14641
.......
通过观察,不难得到对于杨辉三角中,每行的首,末位元素均为1,而中间的元素yangHui[i][j]=yangHui[i-1][j-1]+yangHui[i-1][j]
所以可以先建立一个二维数组,再按照这种规律依次赋值,最后遍历一遍即可
public class yangHuiTriangle {
public static void main(String[] args) {
//声明并初始化二维数组;
int[][] yangHui = new int[10][];
for (int i = 0; i < yangHui.length; i++) {
yangHui[i] = new int[i + 1];
}
//给二维数组赋值
for (int i = 0; i < yangHui.length; i++) {
//先给边上的赋值
yangHui[i][0] = 1;
yangHui[i][i] = 1;
//再给中间的赋值
for (int j = 1; j < yangHui[i].length - 1; j++) {
yangHui[i][j] = yangHui[i - 1][j - 1] + yangHui[i - 1][j];
}
}
//遍历二维数组
for (int i = 0; i < yangHui.length; i++) {
for (int j = 0; j < yangHui[i].length; j++) {
System.out.print(yangHui[i][j] + " ");
}
System.out.println();
}
}
}