Their Bride by Stasia Black (ePUB, PDF, Downloads)‎

In the New Republic, every woman must marry five men.
It’s the law.
Welcome to the apocalypse.
All Vanessa ever wanted was to be loved.
Okay, strike that—all she wanted was not to die at the hands of the homicidal maniac who was obsessed with hunting her down—and to be loved.
Was that too much to ask?
Going to Jacob’s Well and becoming a Lottery Bride sounded like it would make all Vanessa’s dreams come true.
For the first time in her life, she’d have a family. For the first time in her life, she’d have not just one person to love her, but five.
And she’d be safe. from the notorious female slave trader, Lorenzo Bernal.
There’s just one teeny, tiny problem.
When the lottery husbands are announced, it turns out none of them intentionally entered. And they want out of the bargain.