Hi James!
If you are still using the Fixed function renderer (not GL Programmable Renderer) you can simply set glShadeModel(GL_FLAT) before drawing.
If you are using programmable renderer, you'll need to write a simple shader that passes the vertex colors along with flat interpolation qualifiers
http://www.geeks3d.com/20130514/opengl-interpolation-qualifiers-glsl-tutorial/
Hope this helps!