Your premise is incorrect: it originated in the US and is the single most effective, lowest cost method we have to address homelessness[1].
It is, in fact, cheaper than shelter [2].
"People not contributing to society"? Really? Perhaps if they had a home they could get a job? I invite you to go to an actual homeless shelter near you and talk to the people there. Ask them what it's like to try to find a job while living in a shelter.