I could not find out anything on denture adhesive causing a acne breakout. However, this is not to say that it is not causing you this issue. Maybe you are having a bad reaction to it. Try changing brand names of the denture adhesive that you are using. Also keep in mind that the acne you are getting has nothing to do whit the denture adhesive.
If changing brands does not work then talk to a doctor and or dentist about your problem it might be something that they can suggest something that will help this issue to go away.