Vue 1 példa

<template>
  <div id="app">
    <input v-model="x" @keyup.enter="f()">
    <br>
    <li v-for="(elem,i) in t" v-html="elem" :key="i"/>
  </div>
</template>

<script>
export default {
  name: "App",
  data() {
    return {
      x: 1,
      t: []
    };
  },
  methods: {
    f() {
      this.t.push(this.x);
      this.t.sort((a, b) => a.localeCompare(b));
      this.x = "";
    }
  }
};
</script>

<style>
#app {
  font-size: 20px;
}
</style>