//html
<div id="paging">
<span v-on:click="switchPage(curPage - 1)">prev</span>
<span v-for="item in sum" v-bind:class="{'current-page': item == curPage}" v-text="item" v-on:click="switchPage(item)"></span>
<span v-on:click="switchPage(curPage + 1)">next</span>
</div>

//js
var paging = new Vue({
 el: '#paging',
 data: {
  sum: 4, //总页数
  curPage: 1, //当前页
 },
 methods: {
  getBooks: function(page){
   //页面初始化函数
  },
  switchPage: function(page){
   var vm = this;
   if(page < 1) {
    page = 1;
   } else if(page > vm.sum) {
    page = vm.sum;
   }
   vm.getBooks(page);
   vm.curPage = page;
  },
 }
})

//css
span {
 display: inline-block;
 margin: 3px;
 width: 35px;
 height: 35px;
 line-height: 35px;
 text-align: center;
 color: pink;
 background: #fff;
 border-radius: 5px;
}
span.current-page,
span:hover {
 color: #fff;
 background: pink;
}