Simple ansible playbook to push ssh public key to hosts

ssh_copy_id.yml

---
- hosts: all
  gather_facts: false
  become: no
  tasks:
    - name: copy ssh key public key
      lineinfile:
        line: 'your_public key string'
        path: /home/your_home_directory/.ssh/authorized_keys
        create: yes

Use the -k option to prompt for your ssh password to push the key to multiple hosts.