Answer - YES. so much vignetting that you cant use it on a full frame until 20mm - YES.
You wont damage the camera, but, if you're anything like me, you will get majorly annoyed with the results and go out an bu the 12-24mm which is AWESOME![]()
There is a little light loss wide open as can be seen here (not being the best example due to being hand held on a traffic island!!)- but the SIGMA 12-24 is designed for a full frame. Remind me of the crop on the mkII N? Dont remember it being very much at all...... Either way, you trade 2mm at the wide end for a lens designed specifically to be used on any camera from 1.6x to 0x crop
You might be able to make it fit but I'd be wary of trying to do it. The DC on it means the lens is designed for the 1/3 crop cameras and it might jam/damage your mirror as it protrudes further into the camera.