子のcomponentから親のstateを更新させた後に子が持ってるpropsを更新させたい

あるcomponentでcomponentWillUpdate()をし、
state、またはpropsが更新されたタイミングで子のcomponentにpropsで親のcomponentのstateを渡したいのですがどうすればできますか？

 コード

親component

import React from 'react';
import PropTypes from 'prop-types';
import component1 from './component1';
import component2 from './component2';


class parent extends React.Component {
  constructor(props) {
    super(props);

    this.state = {
      array: [
        { test: 'test1', test1: false, index: 0},
        { test: 'test2', test1: false, index: 1},
        { test: 'test3', test1: false, index: 2},
      ],
    };
  }

  onSubmitState() { 
    this.setState({
      array: [
        { test: 'aaa', test1: true, index: 0},
        { test: 'bbb', test1: true, index: 1},
        { test: 'ccc', test1: true, index: 2},
      ],
    });
  }

  cmp1Props(obj) {
    return (
      <component1
        cmp1Props={obj}
      />
    );
  }

  cmp2Props(obj) {
    return (
      <component2
        cmp2Props={obj},
        onSubmitState={() => {this.onSubmitState();}}
      />
    );
  }
  render() {
    const cmp1 = this.state.array.map((e) => {
      return (
        this.cmp1Props(e)
      );
    });

    const cmp2 = this.state.array.map((e) => {
      return (
        this.cmp2Props(e)
      );
    });

    return (
      <div>
        {cmp1}
        {cmp2}
      </div>
    );
  }
}

export default parent;

component1(子)

import React from 'react';
import PropTypes from 'prop-types';

class component1 extends React.Component {
  static propTypes = {
    cmp1Props: PropTypes.object,
  };

  constructor(props) {
    super(props);

    this.state = {
      test: this.props.cmp1Props.test,
      test1: this.props.cmp1Props.test1,
    };
  }

  render() {
    if(this.state.test1) {
      return(
        <div>
          <p>成功</p>
        </div>
      );
    } else {
      return(
        <div>
          <p>失敗</p>
        </div>
      );
    }
  }
}

export default component1;

component2(子)

import React from 'react';
import PropTypes from 'prop-types';

const propTypes = {
  cmp2Props: PropTypes.object,
  onSubmitState: PropTypes.func
};

class component2 extends React.Component {
  constructor(props) {
    super(props);
    this.state = {
      index: this.props.cmp2Props.index,
    };
  }

  buttonClick() {
    return this.props.onSubmitState();
  }

  render() {
    return(
      <div>
        <button onClick={() => {this.buttonClick();}}>ボタン</button>
      </div>
    );
  }
}

component2.propTypes = propTypes;
export default component2;