"We have many same hobbies," is incorrect. But you can say:
We have many of the same hobbies.
We share many hobbies.
We have many hobbies in common.
Each of these sentences has the same basic meaning.
2016년 1월 14일
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We have many of the same hobbies.
2016년 1월 14일
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We have a lot of common interests
We share a lot of hobbies :)