布局代码：

<?xml version="1.0" encoding="utf-8"?>
<FrameLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <TextView
        android:id="@+id/view1"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_gravity="center"
        android:width="170pt"
        android:height="170pt"
        android:background="#f00"/>

    <TextView
        android:id="@+id/view2"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_gravity="center"
        android:width="140pt"
        android:height="140pt"
        android:background="#0f0"/>

    <TextView
            android:id="@+id/view3"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_gravity="center"
            android:width="110pt"
            android:height="110pt"
            android:background="#00f"/>

    <TextView
            android:id="@+id/view4"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_gravity="center"
            android:width="80pt"
            android:height="80pt"
            android:background="#ff0"/>

    <TextView
            android:id="@+id/view5"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_gravity="center"
            android:width="50pt"
            android:height="50pt"
            android:background="#f0f"/>

    <TextView
            android:id="@+id/view6"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_gravity="center"
            android:width="20pt"
            android:height="20pt"
            android:background="#0ff"/>

</FrameLayout>

逻辑代码：

package com.example.lab.android.nuc.crizyandroid;

import android.annotation.SuppressLint;
import android.os.Handler;
import android.os.Message;
import android.support.v7.app.AppCompatActivity;
import android.os.Bundle;
import android.widget.TextView;

import java.util.Timer;
import java.util.TimerTask;

public class LightActivity extends AppCompatActivity {


    private int currentColor = 0;
    //定义一个颜色数组
    final int [] colors = new int[]{
            R.color.color1,
            R.color.color2,
            R.color.color3,
            R.color.color4,
            R.color.color5,
            R.color.color6
    };
    final int[] names = new int[]{
            R.id.view1,
            R.id.view2,
            R.id.view3,
            R.id.view4,
            R.id.view5,
            R.id.view6
    };
    TextView[] views = new TextView[names.length];
    @SuppressLint("HandlerLeak")
    Handler handler = new Handler()
    {
        @Override
        public void handleMessage(Message msg) {

            if (msg.what == 0x123){
                for (int i = 0; i < names.length; i++) {
                    views[i].setBackgroundResource(colors[(i + currentColor) % names.length] );
                }
                currentColor ++;
            }
            super.handleMessage(msg);
        }
    };

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_light);
        for (int i = 0; i < names.length; i++) {
            views[i] = (TextView) findViewById(names[i]);
        }
        new Timer().schedule(new TimerTask() {
            @Override
            public void run() {
                handler.sendEmptyMessage(0x123);
            }
        },0,50);
    }
}

效果如下：

11.gif

时间比较紧，先写简洁一些吧