Limit distinct count of group by

Suppose for simplicity that I have a table t with columns id and value. I can find the ids that have more than one distinct value using a query such as

SELECT id, COUNT(DISTINCT(value)) AS count
FROM t
GROUP BY id
HAVING count > 1

Is there a more efficient way to do this? Can it be changed so that the count for each id stops as soon as more than one distinct value is found for it?