The Quebec Major Junior Hockey League ( French : la Ligue de hockey junior majeur du QuÃ bec , shortened as QMJHL in English , LHJMQ in French ) is one of the three major junior ice hockey leagues which make up the Canadian Hockey League . The Quebec Major Junior Hockey League ( French : la Ligue de hockey junior majeur du QuÃ bec , abbreviated QMJHL in English , LHJMQ in French ) is one of the three major junior ice hockey leagues which constitute the Canadian Hockey League .