Answer:
"Whichever cigars Michael Douglas smoked they gave him throat cancer. What a waste..."
Michael Douglas has gone on record as saying that the type of cancer he has is caused by alcohol consumption, not smoking. People hear the word "cancer" and assume smoking.
As far as what cigar he smokes, it's a variety. Most cigar enthusiasts don't smoke just one kind of cigar the way cigarette smokers usually smoke one brand. Premium cigars are like fine wines, and which one you choose may depend on a variety of factors, such as the time of day, whether you've eaten yet, what you've eaten, your mood, or simply what you have a desire to taste.
In his Cigar Aficionado interview he listed H. Upmann, Romeo y Julieta, Cohiba, and the Montecristo #2