Using a gradientDrawable with more than three colors set

put this code in your onCreate() method:

ShapeDrawable.ShaderFactory shaderFactory = new ShapeDrawable.ShaderFactory() {
    @Override
    public Shader resize(int width, int height) {
        LinearGradient linearGradient = new LinearGradient(0, 0, width, height,
            new int[] { 
                0xFF1e5799, 
                0xFF207cca, 
                0xFF2989d8, 
                0xFF207cca }, //substitute the correct colors for these
            new float[] {
                0, 0.40f, 0.60f, 1 },
            Shader.TileMode.REPEAT);
         return linearGradient;
    }
};
PaintDrawable paint = new PaintDrawable();
paint.setShape(new RectShape());
paint.setShaderFactory(shaderFactory);

and use this drawable as a background.

You can add more than three colors in xml also by creating layers. But in XML it is quite complicated.

It is not possible to do into a xml file, but you can apply +3 color gradient in yout java code with GradientDrawable class:

GradientDrawable gradientDrawable = new GradientDrawable(
                Orientation.TOP_BOTTOM,
                new int[]{ContextCompat.getColor(this, R.color.color1),
                        ContextCompat.getColor(this, R.color.color2),
                        ContextCompat.getColor(this, R.color.color3),
                        ContextCompat.getColor(this, R.color.color4)});

        findViewById(R.id.background).setBackground(gradientDrawable);