AngularJS 1.2.x

var app = angular.module('plunker', []).directive('fizzbuzz', function() {
  return {
    require: 'ngModel',
    link: function($scope, $element, $attrs, ctrl) {
      // ngModelControllerの$parsesプロパティに検証用の関数を登録します。
      ctrl.$parsers.unshift(function(viewValue) {
        viewValue = +viewValue;
        if (viewValue % 3 === 0 && viewValue % 5 === 0) {
          ctrl.$setValidity('fizzbuzz', true);
          return viewValue;
        } else {
          ctrl.$setValidity('fizzbuzz', false);
          return undefined;
        }
      });
    }
  };
});

<!DOCTYPE html>
<html ng-app="plunker">

  <head>
    <meta charset="utf-8" />
    <title>AngularJS Plunker</title>
    <script>document.write('<base href="' + document.location + '" />');</script>
    <link rel="stylesheet" href="style.css" />
    <script data-require="angular.js@1.2.x" src="https://ajax.googleapis.com/ajax/libs/angularjs/1.2.17/angular.min.js" data-semver="1.2.17"></script>
    <script src="app.js"></script>
  </head>

  <body>
    <form name="form">
      <input type="text" name="num" ng-model="num" fizzbuzz>
      <span ng-show="form.num.$error.fizzbuzz">3と5の倍数でない。</span>
    </form>
  </body>

</html>

/* Put your css in here */